This document presents a theorem on the existence of a common fixed point for compatible mappings of type (R) in a fuzzy metric space.
The document begins with definitions of key concepts such as fuzzy metric spaces, Cauchy sequences, limits, compatibility, and compatibility of type (R). It then states a theorem that if mappings A, B, S, and T satisfy certain conditions, including being compatible of type (R) and satisfying an implicit relation, then they have a unique common fixed point.
The conditions and proof of the theorem are then provided. The proof constructs a Cauchy sequence and uses properties of the mappings and space like completeness to show the sequence converges to a common fixed point of the mappings.
Fixed Point Theorem in Fuzzy Metric SpaceIJERA Editor
In this present paper on fixed point theorems in fuzzy metric space . we extended to Fuzzy Metric space
generalisation of main theorem .
Mathematics Subject Classification: 47H10, 54A40
This document presents a theorem proving the existence of a common fixed point for pairs of mappings in a fuzzy metric space under certain conditions. It begins with definitions of key concepts in fuzzy set theory and fuzzy metric spaces. It then states the main theorem, which shows that if two pairs of pointwise R-weakly commuting mappings satisfy certain continuity and contractive conditions, then they have a unique common fixed point. The proof constructs Cauchy sequences that converge to the common fixed point. Continuity of one mapping is used to establish connections between the limits of the sequences.
On fixed point theorems in fuzzy 2 metric spaces and fuzzy 3-metric spacesAlexander Decker
1) The document discusses fixed point theorems for mappings in fuzzy 2-metric and fuzzy 3-metric spaces.
2) It defines concepts like fuzzy metric spaces, Cauchy sequences, compatible mappings, and proves some fixed point theorems for compatible mappings.
3) The theorems show that under certain contractive conditions on the mappings, there exists a unique common fixed point for the mappings in a complete fuzzy 2-metric or fuzzy 3-metric space.
Fixed point theorem in fuzzy metric space with e.a propertyAlexander Decker
This document presents a theorem proving the existence of a common fixed point for four self-mappings (A, B, S, T) on a fuzzy metric space under certain conditions. Specifically:
1) The mappings satisfy containment and weakly compatible conditions, as well as property (E.A).
2) There exists a contractive inequality relating the mappings.
3) The range of one mapping (T) is a closed subspace.
Under these assumptions, the theorem proves the mappings have a unique common fixed point. The proof constructs sequences to show the mappings share a single fixed point. References at the end provide background on fuzzy metric spaces and related fixed point results.
Fixed point theorems for four mappings in fuzzy metric space using implicit r...Alexander Decker
This document presents theorems proving the existence and uniqueness of common fixed points for four mappings (A, B, S, T) in a fuzzy metric space using an implicit relation.
It begins with definitions of key concepts like fuzzy metric spaces, Cauchy sequences, completeness, compatibility, and occasionally weak compatibility of mappings.
The main result (Theorem 3.1) proves that if the pairs of mappings (A,S) and (B,T) are occasionally weakly compatible, and an implicit relation involving the fuzzy metric of images of x and y under the mappings is satisfied, then there exists a unique common fixed point w for A and S, and a unique common fixed point z for B and T.
Semicompatibility and fixed point theorem in fuzzy metric space using implici...eSAT Publishing House
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.
11.a common fixed point theorem for two weakly compatible mappings satisfying...Alexander Decker
This document presents a theorem that establishes the existence of a unique common fixed point for two weakly compatible self-maps S and T on a complete metric space under a new contractive condition of integral type. The theorem proves that if conditions (i) and (ii) are satisfied, where condition (ii) involves integral inequalities, then S and T have a unique common fixed point. The proof constructs a Cauchy sequence that converges to the common fixed point. Some background on fixed point theory and previous related results are also briefly discussed.
A common fixed point theorem for two weakly compatible mappings satisfying a ...Alexander Decker
This document presents a theorem that establishes the existence of a unique common fixed point for two weakly compatible self-maps S and T on a complete metric space under a new integral type contractive condition. The theorem proves that if conditions (i) and (ii) are satisfied, where condition (ii) involves integral inequalities, then S and T have a unique common fixed point. The proof involves showing that a sequence defined using S and T is Cauchy, which guarantees convergence in the complete metric space. This convergence leads to a contradiction unless the maps have a common fixed point.
Fixed Point Theorem in Fuzzy Metric SpaceIJERA Editor
In this present paper on fixed point theorems in fuzzy metric space . we extended to Fuzzy Metric space
generalisation of main theorem .
Mathematics Subject Classification: 47H10, 54A40
This document presents a theorem proving the existence of a common fixed point for pairs of mappings in a fuzzy metric space under certain conditions. It begins with definitions of key concepts in fuzzy set theory and fuzzy metric spaces. It then states the main theorem, which shows that if two pairs of pointwise R-weakly commuting mappings satisfy certain continuity and contractive conditions, then they have a unique common fixed point. The proof constructs Cauchy sequences that converge to the common fixed point. Continuity of one mapping is used to establish connections between the limits of the sequences.
On fixed point theorems in fuzzy 2 metric spaces and fuzzy 3-metric spacesAlexander Decker
1) The document discusses fixed point theorems for mappings in fuzzy 2-metric and fuzzy 3-metric spaces.
2) It defines concepts like fuzzy metric spaces, Cauchy sequences, compatible mappings, and proves some fixed point theorems for compatible mappings.
3) The theorems show that under certain contractive conditions on the mappings, there exists a unique common fixed point for the mappings in a complete fuzzy 2-metric or fuzzy 3-metric space.
Fixed point theorem in fuzzy metric space with e.a propertyAlexander Decker
This document presents a theorem proving the existence of a common fixed point for four self-mappings (A, B, S, T) on a fuzzy metric space under certain conditions. Specifically:
1) The mappings satisfy containment and weakly compatible conditions, as well as property (E.A).
2) There exists a contractive inequality relating the mappings.
3) The range of one mapping (T) is a closed subspace.
Under these assumptions, the theorem proves the mappings have a unique common fixed point. The proof constructs sequences to show the mappings share a single fixed point. References at the end provide background on fuzzy metric spaces and related fixed point results.
Fixed point theorems for four mappings in fuzzy metric space using implicit r...Alexander Decker
This document presents theorems proving the existence and uniqueness of common fixed points for four mappings (A, B, S, T) in a fuzzy metric space using an implicit relation.
It begins with definitions of key concepts like fuzzy metric spaces, Cauchy sequences, completeness, compatibility, and occasionally weak compatibility of mappings.
The main result (Theorem 3.1) proves that if the pairs of mappings (A,S) and (B,T) are occasionally weakly compatible, and an implicit relation involving the fuzzy metric of images of x and y under the mappings is satisfied, then there exists a unique common fixed point w for A and S, and a unique common fixed point z for B and T.
Semicompatibility and fixed point theorem in fuzzy metric space using implici...eSAT Publishing House
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.
11.a common fixed point theorem for two weakly compatible mappings satisfying...Alexander Decker
This document presents a theorem that establishes the existence of a unique common fixed point for two weakly compatible self-maps S and T on a complete metric space under a new contractive condition of integral type. The theorem proves that if conditions (i) and (ii) are satisfied, where condition (ii) involves integral inequalities, then S and T have a unique common fixed point. The proof constructs a Cauchy sequence that converges to the common fixed point. Some background on fixed point theory and previous related results are also briefly discussed.
A common fixed point theorem for two weakly compatible mappings satisfying a ...Alexander Decker
This document presents a theorem that establishes the existence of a unique common fixed point for two weakly compatible self-maps S and T on a complete metric space under a new integral type contractive condition. The theorem proves that if conditions (i) and (ii) are satisfied, where condition (ii) involves integral inequalities, then S and T have a unique common fixed point. The proof involves showing that a sequence defined using S and T is Cauchy, which guarantees convergence in the complete metric space. This convergence leads to a contradiction unless the maps have a common fixed point.
Fixed Point Theorem in Fuzzy Metric Space Using (CLRg) Propertyinventionjournals
The object of this paper is to establish a common fixed point theorem for semi-compatible pair of self maps by using CLRg Property in fuzzy metric space.
Research Inventy : International Journal of Engineering and Science is published by the group of young academic and industrial researchers with 12 Issues per year. It is an online as well as print version open access journal that provides rapid publication (monthly) of articles in all areas of the subject such as: civil, mechanical, chemical, electronic and computer engineering as well as production and information technology. The Journal welcomes the submission of manuscripts that meet the general criteria of significance and scientific excellence. Papers will be published by rapid process within 20 days after acceptance and peer review process takes only 7 days. All articles published in Research Inventy will be peer-reviewed.
A Common Fixed Point Theorem on Fuzzy Metric Space Using Weakly Compatible an...inventionjournals
The aim of this paper is to prove a fixed point theorem in a complete fuzzy metric space using six self maps. We prove our theorem with the concept of weakly compatible mappings and semi-compatible mappings in complete fuzzy metric space.
On fixed point theorems in fuzzy metric spaces in integral typeAlexander Decker
This document presents several common fixed point theorems for occasionally weakly compatible mappings in fuzzy metric spaces. It begins with definitions of key concepts such as fuzzy sets, fuzzy metric spaces, occasionally weakly compatible mappings, and Cauchy sequences in fuzzy metric spaces. It then presents four main theorems that establish the existence and uniqueness of a common fixed point for self-mappings under certain contractive conditions on the mappings and using the concept of occasionally weakly compatible pairs. The proofs of the theorems are also provided.
Errors in the Discretized Solution of a Differential Equationijtsrd
We study the error in the derivatives of an unknown function. We construct the discretized problem. The local truncation and global errors are discussed. The solution of discretized problem is constructed. The analytical and discretized solutions are compared. The two solution graphs are described by using MATLAB software. Wai Mar Lwin | Khaing Khaing Wai "Errors in the Discretized Solution of a Differential Equation" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5 , August 2019, URL: https://www.ijtsrd.com/papers/ijtsrd27937.pdfPaper URL: https://www.ijtsrd.com/mathemetics/applied-mathamatics/27937/errors-in-the-discretized-solution-of-a-differential-equation/wai-mar-lwin
Fixed point theorems in random fuzzy metric space throughAlexander Decker
This document defines key concepts related to fixed point theorems in random fuzzy metric spaces. It begins by introducing fuzzy metric spaces, fuzzy 2-metric spaces, and fuzzy 3-metric spaces. It then defines random fuzzy variables and random fuzzy metric spaces. The document aims to prove some fixed point theorems in random fuzzy metric spaces, random fuzzy 2-metric spaces, and random fuzzy 3-metric spaces using rational expressions. It provides 18 definitions related to t-norms, fuzzy metric spaces, convergence of sequences, completeness, and mappings to lay the groundwork for the main results.
International Journal of Mathematics and Statistics Invention (IJMSI) inventionjournals
This document presents a common fixed point theorem for six self-maps (A, B, S, T, L, M) on a Menger space using the concept of weak compatibility. It proves that if the maps satisfy certain conditions, including being weakly compatible and their images being complete subspaces, then the maps have a unique common fixed point. The proof constructs sequences to show the maps have a coincidence point, then uses weak compatibility and lemmas to show this point is the unique common fixed point.
NITheP UKZN Seminar: Prof. Alexander Gorokhov (Samara State University, Russi...Rene Kotze
This document discusses the application of dynamical groups and coherent states in quantum optics and molecular spectroscopy. It provides an introduction to using Lie groups and algebras to describe quantum systems and defines coherent states. Specific applications discussed include using dynamical symmetries to calculate energy levels of systems like the harmonic oscillator and hydrogen atom. Coherent states are used to derive classical equations of motion and represent open quantum systems. Examples of coherent state dynamics are shown for two-level and three-level atoms interacting with laser fields.
Stereographic Circular Normal Moment Distributionmathsjournal
This document presents a new circular distribution called the stereographic circular normal moment distribution. The distribution is derived by applying a modified inverse stereographic projection to the existing normal moment distribution defined on the real line. Explicit expressions are provided for the probability density function, cumulative distribution function, and trigonometric moments of the proposed stereographic circular normal moment distribution. Graphs of the probability density function for various parameter values are also presented.
Common fixed point theorems with continuously subcompatible mappings in fuzz...Alexander Decker
This document introduces the concepts of continuously subcompatible maps in fuzzy metric spaces. Continuously subcompatible maps are a weaker condition than subcompatibility and subsequential continuity. A theorem is proved that if two pairs of self-mappings (A,S) and (B,T) satisfy the continuously subcompatible condition and inequality (1), then there exists a unique point z in the fuzzy metric space such that Az = Sz = Tz = Bz = z. The concepts of fuzzy metric spaces, compatible maps, weakly compatible maps, and occasionally weakly compatible maps are also defined.
Common Fixed Point Theorems For Occasionally Weakely Compatible Mappingsiosrjce
Som [11 ] establishes a common fixed point theorem for R-weakly Commuting mappings in a Fuzzy
metric space.The object of this Paper is to prove some fixed point theorems for occasionally Weakly compatible
mappings by improving the condition of Som[11 ].
Wits Node Seminar: Dr Sunandan Gangopadhyay (NITheP Stellenbosch)
TITLE: Path integral action of a particle in the noncommutative plane and the Aharonov-Bohm effect
Prof. Vishnu Jejjala (Witwatersrand) TITLE: "The Geometry of Generations"Rene Kotze
This document summarizes Vishnu Jejjala's talk "The Geometry of Generations" given at the University of the witwatersrand on 23 September 2014. It discusses using the geometry of vacuum moduli spaces of supersymmetric gauge theories to understand phenomenological aspects of the Standard Model, such as the number of generations. It provides examples of calculating the vacuum moduli space for simple supersymmetric gauge theories and outlines a process for obtaining the moduli space from the F-term and D-term equations.
The Multivariate Gaussian Probability DistributionPedro222284
The document discusses the multivariate Gaussian probability distribution. It defines the distribution and provides its probability density function. It then discusses various properties including: functions of Gaussian variables such as linear transformations and addition; the characteristic function and how to calculate moments; marginalization and conditional distributions. It also provides some tips and tricks for working with Gaussian distributions including how to calculate products.
Generalized fixed point theorems for compatible mapping in fuzzy 2 metric spa...Alexander Decker
This document discusses generalized fixed point theorems for compatible mappings in fuzzy 2-metric spaces. It begins with introductions and preliminaries on fixed point theory, fuzzy metric spaces, and compatible mappings. It then provides new definitions of compatible mappings of types (I) and (II) in fuzzy-2 metric spaces. The main results extend, generalize, and improve previous theorems by proving common fixed point theorems for four mappings under the condition of compatible mappings of types (I) and (II) in complete fuzzy-2 metric spaces.
The document presents a theorem on random fixed points in metric spaces. It begins with introductions to fixed point theory, random fixed point theory, and relevant definitions. The main result is Theorem 3.1, which proves that if a self-mapping E on a complete metric space X satisfies certain contraction conditions involving parameters between 0 and 1, then E has a unique fixed point. The proof constructs a Cauchy sequence that converges to the unique fixed point. The document contributes to the study of random equations and random fixed point theory, which has applications in nonlinear analysis, probability theory, and other fields.
Semicompatibility and fixed point theorem in fuzzy metric space using implici...eSAT Journals
This document summarizes a research paper on proving fixed point theorems in fuzzy metric spaces using the concept of semicompatibility and implicit relations. It defines key concepts such as fuzzy metric spaces, Cauchy sequences, completeness, compatibility, semicompatibility, weak compatibility, and implicit relations. It then proves a fixed point theorem for four self-mappings on a complete fuzzy metric space where the mappings satisfy conditions related to semicompatibility, weak compatibility, and an implicit relation.
Complete l fuzzy metric spaces and common fixed point theoremsAlexander Decker
This document presents definitions and theorems related to complete L-fuzzy metric spaces and common fixed point theorems. It begins with introducing concepts such as L-fuzzy sets, L-fuzzy metric spaces, and triangular norms. It then defines Cauchy sequences and completeness in L-fuzzy metric spaces. The main result is Theorem 2.2, which establishes conditions under which four self-mappings of a complete L-fuzzy metric space have a unique common fixed point. These conditions include the mappings having compatible pairs, one mapping having a closed range, and the mappings satisfying a contractive-type inequality condition. The proof of the theorem constructs appropriate sequences to show convergence.
Some New Fixed Point Theorems on S Metric Spacesijtsrd
In this paper, we present some new type of contractive mappings and prove new fixed point theorems on S metric Spaces. J. Gayathri | Dr. K. Sathya "Some New Fixed Point Theorems on S-Metric Spaces" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-3 , April 2020, URL: https://www.ijtsrd.com/papers/ijtsrd30311.pdf Paper Url :https://www.ijtsrd.com/other-scientific-research-area/other/30311/some-new-fixed-point-theorems-on-smetric-spaces/j-gayathri
IRJET- Common Fixed Point Results in Menger SpacesIRJET Journal
This document presents a common fixed point theorem for five self-maps on a complete Menger space. The theorem proves that if the maps satisfy certain conditions, including being continuous, having a compatibility property, and satisfying a contraction condition, then the maps have a common fixed point. The conditions and proof involve the use of probabilistic distances, triangular norms, Cauchy sequences, and limits in Menger spaces. The theorem generalizes prior results on common fixed points and provides a way to establish the existence of solutions to equations involving multiple operators.
Fixed Point Theorem in Fuzzy Metric Space Using (CLRg) Propertyinventionjournals
The object of this paper is to establish a common fixed point theorem for semi-compatible pair of self maps by using CLRg Property in fuzzy metric space.
Research Inventy : International Journal of Engineering and Science is published by the group of young academic and industrial researchers with 12 Issues per year. It is an online as well as print version open access journal that provides rapid publication (monthly) of articles in all areas of the subject such as: civil, mechanical, chemical, electronic and computer engineering as well as production and information technology. The Journal welcomes the submission of manuscripts that meet the general criteria of significance and scientific excellence. Papers will be published by rapid process within 20 days after acceptance and peer review process takes only 7 days. All articles published in Research Inventy will be peer-reviewed.
A Common Fixed Point Theorem on Fuzzy Metric Space Using Weakly Compatible an...inventionjournals
The aim of this paper is to prove a fixed point theorem in a complete fuzzy metric space using six self maps. We prove our theorem with the concept of weakly compatible mappings and semi-compatible mappings in complete fuzzy metric space.
On fixed point theorems in fuzzy metric spaces in integral typeAlexander Decker
This document presents several common fixed point theorems for occasionally weakly compatible mappings in fuzzy metric spaces. It begins with definitions of key concepts such as fuzzy sets, fuzzy metric spaces, occasionally weakly compatible mappings, and Cauchy sequences in fuzzy metric spaces. It then presents four main theorems that establish the existence and uniqueness of a common fixed point for self-mappings under certain contractive conditions on the mappings and using the concept of occasionally weakly compatible pairs. The proofs of the theorems are also provided.
Errors in the Discretized Solution of a Differential Equationijtsrd
We study the error in the derivatives of an unknown function. We construct the discretized problem. The local truncation and global errors are discussed. The solution of discretized problem is constructed. The analytical and discretized solutions are compared. The two solution graphs are described by using MATLAB software. Wai Mar Lwin | Khaing Khaing Wai "Errors in the Discretized Solution of a Differential Equation" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5 , August 2019, URL: https://www.ijtsrd.com/papers/ijtsrd27937.pdfPaper URL: https://www.ijtsrd.com/mathemetics/applied-mathamatics/27937/errors-in-the-discretized-solution-of-a-differential-equation/wai-mar-lwin
Fixed point theorems in random fuzzy metric space throughAlexander Decker
This document defines key concepts related to fixed point theorems in random fuzzy metric spaces. It begins by introducing fuzzy metric spaces, fuzzy 2-metric spaces, and fuzzy 3-metric spaces. It then defines random fuzzy variables and random fuzzy metric spaces. The document aims to prove some fixed point theorems in random fuzzy metric spaces, random fuzzy 2-metric spaces, and random fuzzy 3-metric spaces using rational expressions. It provides 18 definitions related to t-norms, fuzzy metric spaces, convergence of sequences, completeness, and mappings to lay the groundwork for the main results.
International Journal of Mathematics and Statistics Invention (IJMSI) inventionjournals
This document presents a common fixed point theorem for six self-maps (A, B, S, T, L, M) on a Menger space using the concept of weak compatibility. It proves that if the maps satisfy certain conditions, including being weakly compatible and their images being complete subspaces, then the maps have a unique common fixed point. The proof constructs sequences to show the maps have a coincidence point, then uses weak compatibility and lemmas to show this point is the unique common fixed point.
NITheP UKZN Seminar: Prof. Alexander Gorokhov (Samara State University, Russi...Rene Kotze
This document discusses the application of dynamical groups and coherent states in quantum optics and molecular spectroscopy. It provides an introduction to using Lie groups and algebras to describe quantum systems and defines coherent states. Specific applications discussed include using dynamical symmetries to calculate energy levels of systems like the harmonic oscillator and hydrogen atom. Coherent states are used to derive classical equations of motion and represent open quantum systems. Examples of coherent state dynamics are shown for two-level and three-level atoms interacting with laser fields.
Stereographic Circular Normal Moment Distributionmathsjournal
This document presents a new circular distribution called the stereographic circular normal moment distribution. The distribution is derived by applying a modified inverse stereographic projection to the existing normal moment distribution defined on the real line. Explicit expressions are provided for the probability density function, cumulative distribution function, and trigonometric moments of the proposed stereographic circular normal moment distribution. Graphs of the probability density function for various parameter values are also presented.
Common fixed point theorems with continuously subcompatible mappings in fuzz...Alexander Decker
This document introduces the concepts of continuously subcompatible maps in fuzzy metric spaces. Continuously subcompatible maps are a weaker condition than subcompatibility and subsequential continuity. A theorem is proved that if two pairs of self-mappings (A,S) and (B,T) satisfy the continuously subcompatible condition and inequality (1), then there exists a unique point z in the fuzzy metric space such that Az = Sz = Tz = Bz = z. The concepts of fuzzy metric spaces, compatible maps, weakly compatible maps, and occasionally weakly compatible maps are also defined.
Common Fixed Point Theorems For Occasionally Weakely Compatible Mappingsiosrjce
Som [11 ] establishes a common fixed point theorem for R-weakly Commuting mappings in a Fuzzy
metric space.The object of this Paper is to prove some fixed point theorems for occasionally Weakly compatible
mappings by improving the condition of Som[11 ].
Wits Node Seminar: Dr Sunandan Gangopadhyay (NITheP Stellenbosch)
TITLE: Path integral action of a particle in the noncommutative plane and the Aharonov-Bohm effect
Prof. Vishnu Jejjala (Witwatersrand) TITLE: "The Geometry of Generations"Rene Kotze
This document summarizes Vishnu Jejjala's talk "The Geometry of Generations" given at the University of the witwatersrand on 23 September 2014. It discusses using the geometry of vacuum moduli spaces of supersymmetric gauge theories to understand phenomenological aspects of the Standard Model, such as the number of generations. It provides examples of calculating the vacuum moduli space for simple supersymmetric gauge theories and outlines a process for obtaining the moduli space from the F-term and D-term equations.
The Multivariate Gaussian Probability DistributionPedro222284
The document discusses the multivariate Gaussian probability distribution. It defines the distribution and provides its probability density function. It then discusses various properties including: functions of Gaussian variables such as linear transformations and addition; the characteristic function and how to calculate moments; marginalization and conditional distributions. It also provides some tips and tricks for working with Gaussian distributions including how to calculate products.
Generalized fixed point theorems for compatible mapping in fuzzy 2 metric spa...Alexander Decker
This document discusses generalized fixed point theorems for compatible mappings in fuzzy 2-metric spaces. It begins with introductions and preliminaries on fixed point theory, fuzzy metric spaces, and compatible mappings. It then provides new definitions of compatible mappings of types (I) and (II) in fuzzy-2 metric spaces. The main results extend, generalize, and improve previous theorems by proving common fixed point theorems for four mappings under the condition of compatible mappings of types (I) and (II) in complete fuzzy-2 metric spaces.
The document presents a theorem on random fixed points in metric spaces. It begins with introductions to fixed point theory, random fixed point theory, and relevant definitions. The main result is Theorem 3.1, which proves that if a self-mapping E on a complete metric space X satisfies certain contraction conditions involving parameters between 0 and 1, then E has a unique fixed point. The proof constructs a Cauchy sequence that converges to the unique fixed point. The document contributes to the study of random equations and random fixed point theory, which has applications in nonlinear analysis, probability theory, and other fields.
Semicompatibility and fixed point theorem in fuzzy metric space using implici...eSAT Journals
This document summarizes a research paper on proving fixed point theorems in fuzzy metric spaces using the concept of semicompatibility and implicit relations. It defines key concepts such as fuzzy metric spaces, Cauchy sequences, completeness, compatibility, semicompatibility, weak compatibility, and implicit relations. It then proves a fixed point theorem for four self-mappings on a complete fuzzy metric space where the mappings satisfy conditions related to semicompatibility, weak compatibility, and an implicit relation.
Complete l fuzzy metric spaces and common fixed point theoremsAlexander Decker
This document presents definitions and theorems related to complete L-fuzzy metric spaces and common fixed point theorems. It begins with introducing concepts such as L-fuzzy sets, L-fuzzy metric spaces, and triangular norms. It then defines Cauchy sequences and completeness in L-fuzzy metric spaces. The main result is Theorem 2.2, which establishes conditions under which four self-mappings of a complete L-fuzzy metric space have a unique common fixed point. These conditions include the mappings having compatible pairs, one mapping having a closed range, and the mappings satisfying a contractive-type inequality condition. The proof of the theorem constructs appropriate sequences to show convergence.
Some New Fixed Point Theorems on S Metric Spacesijtsrd
In this paper, we present some new type of contractive mappings and prove new fixed point theorems on S metric Spaces. J. Gayathri | Dr. K. Sathya "Some New Fixed Point Theorems on S-Metric Spaces" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-3 , April 2020, URL: https://www.ijtsrd.com/papers/ijtsrd30311.pdf Paper Url :https://www.ijtsrd.com/other-scientific-research-area/other/30311/some-new-fixed-point-theorems-on-smetric-spaces/j-gayathri
IRJET- Common Fixed Point Results in Menger SpacesIRJET Journal
This document presents a common fixed point theorem for five self-maps on a complete Menger space. The theorem proves that if the maps satisfy certain conditions, including being continuous, having a compatibility property, and satisfying a contraction condition, then the maps have a common fixed point. The conditions and proof involve the use of probabilistic distances, triangular norms, Cauchy sequences, and limits in Menger spaces. The theorem generalizes prior results on common fixed points and provides a way to establish the existence of solutions to equations involving multiple operators.
This summary provides the key details from the document in 3 sentences:
The document presents a unique common fixed point theorem for three pairs of weakly compatible mappings satisfying an integral type contractive condition in a complete G-metric space. It extends previous results by proving that if mappings P, Q, R, N, L, and M satisfy certain conditions, including a generalized contractive integral inequality, then they have a unique common fixed point. The proof involves showing that a sequence constructed from the mappings is G-Cauchy and converges, which implies the existence of a unique common fixed point.
International Refereed Journal of Engineering and Science (IRJES)irjes
This summary provides the key details from the document in 3 sentences:
The document presents a unique common fixed point theorem for three pairs of weakly compatible mappings satisfying an integral type contractive condition in a complete G-metric space. It extends previous results by proving that if mappings P, Q, R, N, L, and M satisfy certain conditions, including a generalized contractive integral inequality, then they have a unique common fixed point. The proof involves showing that a sequence constructed from the mappings is G-Cauchy and converges, which implies the existence of a unique common fixed point.
The document presents the application of the reduced differential transform method (RDTM) to solve time-fractional order beam and beam-like equations. RDTM is used to obtain approximate analytical solutions to these equations in the form of a series with few computations. Three test problems are solved to validate the method. The solutions obtained by RDTM for the test problems agree well with the exact solutions.
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.
Abstract
In this paper we prove some new fixed point theorems for weak commuting mapping on complete metric space. Our results generalize
several corresponding relations in metric space of weak commuting mapping.
Keywords: Fixed point, weak commuting mapping, and metric space.
AMS Classification No (2000): 47H10, 54H25
This document presents a research paper that proves some fixed point theorems for occasionally weakly compatible maps in fuzzy metric spaces. The paper begins with an introduction discussing the importance of fixed point theory and its applications. It then provides relevant definitions for fuzzy metric spaces and concepts like weakly compatible mappings. The main results of the paper are fixed point theorems for mappings satisfying integral type contractive conditions in fuzzy metric spaces for occasionally weakly compatible maps. The proofs of these fixed point theorems generalize existing contractive conditions to establish the existence and uniqueness of a fixed point.
Generalized fixed point theorems for compatible mapping in fuzzy 3 metric spa...Alexander Decker
This document discusses generalized fixed point theorems for compatible mappings in fuzzy 3-metric spaces. It begins with introductions and preliminaries on fixed point theory, fuzzy metric spaces, and compatible mappings. It then provides new definitions of compatible mappings of types (I) and (II) in fuzzy 3-metric spaces. The main results extend, generalize, and improve previous theorems by proving common fixed point theorems for four mappings under the conditions of compatible mappings of types (I) and (II) in complete fuzzy 3-metric spaces.
A common random fixed point theorem for rational inequality in hilbert spaceAlexander Decker
This document presents a common random fixed point theorem for four continuous random operators defined on a non-empty closed subset of a separable Hilbert space. It begins with introducing basic concepts such as separable Hilbert spaces, random operators, and common random fixed points. It then defines a condition (A) that the four mappings must satisfy. The main result is Theorem 2.1, which proves the existence of a unique common random fixed point for the four operators under condition (A) and a rational inequality condition. The proof constructs a sequence of measurable functions and shows it converges to the common random fixed point. This establishes the common random fixed point theorem for these operators.
Oscillation results for second order nonlinear neutral delay dynamic equation...inventionjournals
In this paper, we establish sufficient conditions for the oscillation of solutions of second order neutral delay dynamic equations [r (t )( x (t ) p (t ) x ( (t ))) ] q (t ) f ( x ( (t ))) = 0 on an arbitrary time scale 핋.
International Journal of Computational Engineering Research(IJCER) is an intentional online Journal in English monthly publishing journal. This Journal publish original research work that contributes significantly to further the scientific knowledge in engineering and Technology.
Research Inventy : International Journal of Engineering and Science is published by the group of young academic and industrial researchers with 12 Issues per year. It is an online as well as print version open access journal that provides rapid publication (monthly) of articles in all areas of the subject such as: civil, mechanical, chemical, electronic and computer engineering as well as production and information technology. The Journal welcomes the submission of manuscripts that meet the general criteria of significance and scientific excellence. Papers will be published by rapid process within 20 days after acceptance and peer review process takes only 7 days. All articles published in Research Inventy will be peer-reviewed.
This document presents three new theorems on the existence of a unique common fixed point for occasionally weakly compatible mappings on a complete fuzzy metric space. The theorems introduce integral type inequalities involving the mappings that generalize several known fixed point results. Theorem 1 establishes a unique common fixed point for four self-mappings where two pairs of mappings are occasionally weakly compatible and satisfy a particular integral inequality. Theorem 2 and 3 prove similar results but replace the integral inequality with one involving a function Φ satisfying certain properties. The theorems reduce the minimum value of the integral inequality compared to previous results.
Existence of Solutions of Fractional Neutral Integrodifferential Equations wi...inventionjournals
International Journal of Engineering and Science Invention (IJESI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJESI publishes research articles and reviews within the whole field Engineering Science and Technology, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
The document discusses the calculus of variations and derives Euler's equation. It explains that the fundamental problem is to find an unknown function that makes a functional (function of a function) an extremum. Euler's equation provides the necessary condition for a functional to be extremized. As an example, it derives the Euler-Lagrange equation for the shortest distance between two points in Cartesian coordinates, showing the path is a straight line.
Fixed point result in probabilistic metric spaceAlexander Decker
This document presents a fixed point theorem for four self-mappings in a probabilistic metric space. It begins with definitions related to probabilistic metric spaces, including Menger spaces. It then proves a common fixed point theorem for four self-mappings defined on a complete Menger space, where the mappings satisfy certain conditions. Specifically, the mappings have nested range properties and some pairs are weakly or semi-compatible. Additionally, there is a contraction condition involving a rational function. The theorem guarantees the existence and uniqueness of a common fixed point for the four mappings. An example is also provided to support the theorem.
Similar to Fixed Point Theorem of Compatible of Type (R) Using Implicit Relation in Fuzzy Metric Space (20)
TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...IRJET Journal
1) The document discusses the Sungal Tunnel project in Jammu and Kashmir, India, which is being constructed using the New Austrian Tunneling Method (NATM).
2) NATM involves continuous monitoring during construction to adapt to changing ground conditions, and makes extensive use of shotcrete for temporary tunnel support.
3) The methodology section outlines the systematic geotechnical design process for tunnels according to Austrian guidelines, and describes the various steps of NATM tunnel construction including initial and secondary tunnel support.
STUDY THE EFFECT OF RESPONSE REDUCTION FACTOR ON RC FRAMED STRUCTUREIRJET Journal
This study examines the effect of response reduction factors (R factors) on reinforced concrete (RC) framed structures through nonlinear dynamic analysis. Three RC frame models with varying heights (4, 8, and 12 stories) were analyzed in ETABS software under different R factors ranging from 1 to 5. The results showed that displacement increased as the R factor decreased, indicating less linear behavior for lower R factors. Drift also decreased proportionally with increasing R factors from 1 to 5. Shear forces in the frames decreased with higher R factors. In general, R factors of 3 to 5 produced more satisfactory performance with less displacement and drift. The displacement variations between different building heights were consistent at different R factors. This study evaluated how R factors influence
A COMPARATIVE ANALYSIS OF RCC ELEMENT OF SLAB WITH STARK STEEL (HYSD STEEL) A...IRJET Journal
This study compares the use of Stark Steel and TMT Steel as reinforcement materials in a two-way reinforced concrete slab. Mechanical testing is conducted to determine the tensile strength, yield strength, and other properties of each material. A two-way slab design adhering to codes and standards is executed with both materials. The performance is analyzed in terms of deflection, stability under loads, and displacement. Cost analyses accounting for material, durability, maintenance, and life cycle costs are also conducted. The findings provide insights into the economic and structural implications of each material for reinforcement selection and recommendations on the most suitable material based on the analysis.
Effect of Camber and Angles of Attack on Airfoil CharacteristicsIRJET Journal
This document discusses a study analyzing the effect of camber, position of camber, and angle of attack on the aerodynamic characteristics of airfoils. Sixteen modified asymmetric NACA airfoils were analyzed using computational fluid dynamics (CFD) by varying the camber, camber position, and angle of attack. The results showed the relationship between these parameters and the lift coefficient, drag coefficient, and lift to drag ratio. This provides insight into how changes in airfoil geometry impact aerodynamic performance.
A Review on the Progress and Challenges of Aluminum-Based Metal Matrix Compos...IRJET Journal
This document reviews the progress and challenges of aluminum-based metal matrix composites (MMCs), focusing on their fabrication processes and applications. It discusses how various aluminum MMCs have been developed using reinforcements like borides, carbides, oxides, and nitrides to improve mechanical and wear properties. These composites have gained prominence for their lightweight, high-strength and corrosion resistance properties. The document also examines recent advancements in fabrication techniques for aluminum MMCs and their growing applications in industries such as aerospace and automotive. However, it notes that challenges remain around issues like improper mixing of reinforcements and reducing reinforcement agglomeration.
Dynamic Urban Transit Optimization: A Graph Neural Network Approach for Real-...IRJET Journal
This document discusses research on using graph neural networks (GNNs) for dynamic optimization of public transportation networks in real-time. GNNs represent transit networks as graphs with nodes as stops and edges as connections. The GNN model aims to optimize networks using real-time data on vehicle locations, arrival times, and passenger loads. This helps increase mobility, decrease traffic, and improve efficiency. The system continuously trains and infers to adapt to changing transit conditions, providing decision support tools. While research has focused on performance, more work is needed on security, socio-economic impacts, contextual generalization of models, continuous learning approaches, and effective real-time visualization.
Structural Analysis and Design of Multi-Storey Symmetric and Asymmetric Shape...IRJET Journal
This document summarizes a research project that aims to compare the structural performance of conventional slab and grid slab systems in multi-story buildings using ETABS software. The study will analyze both symmetric and asymmetric building models under various loading conditions. Parameters like deflections, moments, shears, and stresses will be examined to evaluate the structural effectiveness of each slab type. The results will provide insights into the comparative behavior of conventional and grid slabs to help engineers and architects select appropriate slab systems based on building layouts and design requirements.
A Review of “Seismic Response of RC Structures Having Plan and Vertical Irreg...IRJET Journal
This document summarizes and reviews a research paper on the seismic response of reinforced concrete (RC) structures with plan and vertical irregularities, with and without infill walls. It discusses how infill walls can improve or reduce the seismic performance of RC buildings, depending on factors like wall layout, height distribution, connection to the frame, and relative stiffness of walls and frames. The reviewed research paper analyzes the behavior of infill walls, effects of vertical irregularities, and seismic performance of high-rise structures under linear static and dynamic analysis. It studies response characteristics like story drift, deflection and shear. The document also provides literature on similar research investigating the effects of infill walls, soft stories, plan irregularities, and different
This document provides a review of machine learning techniques used in Advanced Driver Assistance Systems (ADAS). It begins with an abstract that summarizes key applications of machine learning in ADAS, including object detection, recognition, and decision-making. The introduction discusses the integration of machine learning in ADAS and how it is transforming vehicle safety. The literature review then examines several research papers on topics like lightweight deep learning models for object detection and lane detection models using image processing. It concludes by discussing challenges and opportunities in the field, such as improving algorithm robustness and adaptability.
Long Term Trend Analysis of Precipitation and Temperature for Asosa district,...IRJET Journal
The document analyzes temperature and precipitation trends in Asosa District, Benishangul Gumuz Region, Ethiopia from 1993 to 2022 based on data from the local meteorological station. The results show:
1) The average maximum and minimum annual temperatures have generally decreased over time, with maximum temperatures decreasing by a factor of -0.0341 and minimum by -0.0152.
2) Mann-Kendall tests found the decreasing temperature trends to be statistically significant for annual maximum temperatures but not for annual minimum temperatures.
3) Annual precipitation in Asosa District showed a statistically significant increasing trend.
The conclusions recommend development planners account for rising summer precipitation and declining temperatures in
P.E.B. Framed Structure Design and Analysis Using STAAD ProIRJET Journal
This document discusses the design and analysis of pre-engineered building (PEB) framed structures using STAAD Pro software. It provides an overview of PEBs, including that they are designed off-site with building trusses and beams produced in a factory. STAAD Pro is identified as a key tool for modeling, analyzing, and designing PEBs to ensure their performance and safety under various load scenarios. The document outlines modeling structural parts in STAAD Pro, evaluating structural reactions, assigning loads, and following international design codes and standards. In summary, STAAD Pro is used to design and analyze PEB framed structures to ensure safety and code compliance.
A Review on Innovative Fiber Integration for Enhanced Reinforcement of Concre...IRJET Journal
This document provides a review of research on innovative fiber integration methods for reinforcing concrete structures. It discusses studies that have explored using carbon fiber reinforced polymer (CFRP) composites with recycled plastic aggregates to develop more sustainable strengthening techniques. It also examines using ultra-high performance fiber reinforced concrete to improve shear strength in beams. Additional topics covered include the dynamic responses of FRP-strengthened beams under static and impact loads, and the performance of preloaded CFRP-strengthened fiber reinforced concrete beams. The review highlights the potential of fiber composites to enable more sustainable and resilient construction practices.
Survey Paper on Cloud-Based Secured Healthcare SystemIRJET Journal
This document summarizes a survey on securing patient healthcare data in cloud-based systems. It discusses using technologies like facial recognition, smart cards, and cloud computing combined with strong encryption to securely store patient data. The survey found that healthcare professionals believe digitizing patient records and storing them in a centralized cloud system would improve access during emergencies and enable more efficient care compared to paper-based systems. However, ensuring privacy and security of patient data is paramount as healthcare incorporates these digital technologies.
Review on studies and research on widening of existing concrete bridgesIRJET Journal
This document summarizes several studies that have been conducted on widening existing concrete bridges. It describes a study from China that examined load distribution factors for a bridge widened with composite steel-concrete girders. It also outlines challenges and solutions for widening a bridge in the UAE, including replacing bearings and stitching the new and existing structures. Additionally, it discusses two bridge widening projects in New Zealand that involved adding precast beams and stitching to connect structures. Finally, safety measures and challenges for strengthening a historic bridge in Switzerland under live traffic are presented.
React based fullstack edtech web applicationIRJET Journal
The document describes the architecture of an educational technology web application built using the MERN stack. It discusses the frontend developed with ReactJS, backend with NodeJS and ExpressJS, and MongoDB database. The frontend provides dynamic user interfaces, while the backend offers APIs for authentication, course management, and other functions. MongoDB enables flexible data storage. The architecture aims to provide a scalable, responsive platform for online learning.
A Comprehensive Review of Integrating IoT and Blockchain Technologies in the ...IRJET Journal
This paper proposes integrating Internet of Things (IoT) and blockchain technologies to help implement objectives of India's National Education Policy (NEP) in the education sector. The paper discusses how blockchain could be used for secure student data management, credential verification, and decentralized learning platforms. IoT devices could create smart classrooms, automate attendance tracking, and enable real-time monitoring. Blockchain would ensure integrity of exam processes and resource allocation, while smart contracts automate agreements. The paper argues this integration has potential to revolutionize education by making it more secure, transparent and efficient, in alignment with NEP goals. However, challenges like infrastructure needs, data privacy, and collaborative efforts are also discussed.
A REVIEW ON THE PERFORMANCE OF COCONUT FIBRE REINFORCED CONCRETE.IRJET Journal
This document provides a review of research on the performance of coconut fibre reinforced concrete. It summarizes several studies that tested different volume fractions and lengths of coconut fibres in concrete mixtures with varying compressive strengths. The studies found that coconut fibre improved properties like tensile strength, toughness, crack resistance, and spalling resistance compared to plain concrete. Volume fractions of 2-5% and fibre lengths of 20-50mm produced the best results. The document concludes that using a 4-5% volume fraction of coconut fibres 30-40mm in length with M30-M60 grade concrete would provide benefits based on previous research.
Optimizing Business Management Process Workflows: The Dynamic Influence of Mi...IRJET Journal
The document discusses optimizing business management processes through automation using Microsoft Power Automate and artificial intelligence. It provides an overview of Power Automate's key components and features for automating workflows across various apps and services. The document then presents several scenarios applying automation solutions to common business processes like data entry, monitoring, HR, finance, customer support, and more. It estimates the potential time and cost savings from implementing automation for each scenario. Finally, the conclusion emphasizes the transformative impact of AI and automation tools on business processes and the need for ongoing optimization.
Multistoried and Multi Bay Steel Building Frame by using Seismic DesignIRJET Journal
The document describes the seismic design of a G+5 steel building frame located in Roorkee, India according to Indian codes IS 1893-2002 and IS 800. The frame was analyzed using the equivalent static load method and response spectrum method, and its response in terms of displacements and shear forces were compared. Based on the analysis, the frame was designed as a seismic-resistant steel structure according to IS 800:2007. The software STAAD Pro was used for the analysis and design.
Cost Optimization of Construction Using Plastic Waste as a Sustainable Constr...IRJET Journal
This research paper explores using plastic waste as a sustainable and cost-effective construction material. The study focuses on manufacturing pavers and bricks using recycled plastic and partially replacing concrete with plastic alternatives. Initial results found that pavers and bricks made from recycled plastic demonstrate comparable strength and durability to traditional materials while providing environmental and cost benefits. Additionally, preliminary research indicates incorporating plastic waste as a partial concrete replacement significantly reduces construction costs without compromising structural integrity. The outcomes suggest adopting plastic waste in construction can address plastic pollution while optimizing costs, promoting more sustainable building practices.
Supermarket Management System Project Report.pdfKamal Acharya
Supermarket management is a stand-alone J2EE using Eclipse Juno program.
This project contains all the necessary required information about maintaining
the supermarket billing system.
The core idea of this project to minimize the paper work and centralize the
data. Here all the communication is taken in secure manner. That is, in this
application the information will be stored in client itself. For further security the
data base is stored in the back-end oracle and so no intruders can access it.
Blood finder application project report (1).pdfKamal Acharya
Blood Finder is an emergency time app where a user can search for the blood banks as
well as the registered blood donors around Mumbai. This application also provide an
opportunity for the user of this application to become a registered donor for this user have
to enroll for the donor request from the application itself. If the admin wish to make user
a registered donor, with some of the formalities with the organization it can be done.
Specialization of this application is that the user will not have to register on sign-in for
searching the blood banks and blood donors it can be just done by installing the
application to the mobile.
The purpose of making this application is to save the user’s time for searching blood of
needed blood group during the time of the emergency.
This is an android application developed in Java and XML with the connectivity of
SQLite database. This application will provide most of basic functionality required for an
emergency time application. All the details of Blood banks and Blood donors are stored
in the database i.e. SQLite.
This application allowed the user to get all the information regarding blood banks and
blood donors such as Name, Number, Address, Blood Group, rather than searching it on
the different websites and wasting the precious time. This application is effective and
user friendly.
Use PyCharm for remote debugging of WSL on a Windo cf5c162d672e4e58b4dde5d797...shadow0702a
This document serves as a comprehensive step-by-step guide on how to effectively use PyCharm for remote debugging of the Windows Subsystem for Linux (WSL) on a local Windows machine. It meticulously outlines several critical steps in the process, starting with the crucial task of enabling permissions, followed by the installation and configuration of WSL.
The guide then proceeds to explain how to set up the SSH service within the WSL environment, an integral part of the process. Alongside this, it also provides detailed instructions on how to modify the inbound rules of the Windows firewall to facilitate the process, ensuring that there are no connectivity issues that could potentially hinder the debugging process.
The document further emphasizes on the importance of checking the connection between the Windows and WSL environments, providing instructions on how to ensure that the connection is optimal and ready for remote debugging.
It also offers an in-depth guide on how to configure the WSL interpreter and files within the PyCharm environment. This is essential for ensuring that the debugging process is set up correctly and that the program can be run effectively within the WSL terminal.
Additionally, the document provides guidance on how to set up breakpoints for debugging, a fundamental aspect of the debugging process which allows the developer to stop the execution of their code at certain points and inspect their program at those stages.
Finally, the document concludes by providing a link to a reference blog. This blog offers additional information and guidance on configuring the remote Python interpreter in PyCharm, providing the reader with a well-rounded understanding of the process.
Software Engineering and Project Management - Introduction, Modeling Concepts...Prakhyath Rai
Introduction, Modeling Concepts and Class Modeling: What is Object orientation? What is OO development? OO Themes; Evidence for usefulness of OO development; OO modeling history. Modeling
as Design technique: Modeling, abstraction, The Three models. Class Modeling: Object and Class Concept, Link and associations concepts, Generalization and Inheritance, A sample class model, Navigation of class models, and UML diagrams
Building the Analysis Models: Requirement Analysis, Analysis Model Approaches, Data modeling Concepts, Object Oriented Analysis, Scenario-Based Modeling, Flow-Oriented Modeling, class Based Modeling, Creating a Behavioral Model.
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