International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
Higher-order (F, α, β, ρ, d)-convexity is considered. A multiobjective programming problem (MP) is considered. Mond-Weir and Wolfe type duals are considered for multiobjective programming problem. Duality results are established for multiobjective programming problem under higher-order (F, α, β, ρ, d)- convexity assumptions. The results are also applied for multiobjective fractional programming problem.
Higher-order (F, α, β, ρ, d)-convexity is considered. A multiobjective programming problem (MP) is considered. Mond-Weir and Wolfe type duals are considered for multiobjective programming problem. Duality results are established for multiobjective programming problem under higher-order (F, α, β, ρ, d)- convexity assumptions. The results are also applied for multiobjective fractional programming problem.
In the present paper , we introduce and study the concept of gr- Ti- space (for i =0,1,2) and
obtain the characterization of gr –regular space , gr- normal space by using the notion of gr-open
sets. Further, some of their properties and results are discussed.
8 fixed point theorem in complete fuzzy metric space 8 megha shrivastavaBIOLOGICAL FORUM
ABSTRACT: In this paper our works establish a new fixed point theorem for a different type of mapping in complete fuzzy metric space. Here we define a mapping by using some proved results and obtain a result on the actuality of fixed points. We inspired by the concept of Hossein Piri and Poom Kumam [15]. They introduced the fixed point theorem for generalized F-suzuki -contraction mappings in complete b-metric space. Next Robert plebaniak [16] express his idea by result “New generalized fuzzy metric space and fixed point theorem in fuzzy metric space”. This paper also induces comparing of the outcome with existing result in the literature.
Keywords: Fuzzy set, Fuzzy metric space, Cauchy sequence Non- decreasing sequence, Fixed point, Mapping.
(𝛕𝐢, 𝛕𝐣)− RGB Closed Sets in Bitopological SpacesIOSR Journals
In this paper we introduce and study the concept of a new class of closed sets called (𝜏𝑖, 𝜏𝑗)− regular generalized b- closed sets (briefly(𝜏𝑖, 𝜏𝑗)− rgb-closed) in bitopological spaces.Further we define and study new neighborhood namely (𝜏𝑖, 𝜏𝑗)− rgb- neighbourhood (briefly(𝜏𝑖, 𝜏𝑗)− rgb-nhd) and discuss some of their properties in bitopological spaces. Also, we give some characterizations and applications of it.
ON OPTIMALITY OF THE INDEX OF SUM, PRODUCT, MAXIMUM, AND MINIMUM OF FINITE BA...UniversitasGadjahMada
Chaatit, Mascioni, and Rosenthal de ned nite Baire index for a bounded real-valued function f on a separable metric space, denoted by i(f), and proved that for any bounded functions f and g of nite Baire index, i(h) i(f) + i(g), where h is any of the functions f + g, fg, f ˅g, f ^ g. In this paper, we prove that the result is optimal in the following sense : for each n; k < ω, there exist functions f; g such that i(f) = n, i(g) = k, and i(h) = i(f) + i(g).
Fixed Point Results In Fuzzy Menger Space With Common Property (E.A.)IJERA Editor
This paper presents some common fixed point theorems for weakly compatible mappings via an implicit relation in Fuzzy Menger spaces satisfying the common property (E.A)
In this paper, we introduce the concept of residual quotient of intuitionistic fuzzy subsets of ring and module and then define the notion of residual quotient intuitionistic fuzzy submodules , residual quotient intuitionistic fuzzy ideals. We study many properties of residual quotient relating to union, intersection, sum of intuitionistic fuzzy submodules (ideals). Using the concept of residual quotient, we investigate some important characterization of intuitionistic fuzzy annihilator of subsets of ring and module. We also study intuitionistic fuzzy prime submodules with the help of intuitionistic fuzzy annihilators. Many related properties are defined and discussed.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
In the present paper , we introduce and study the concept of gr- Ti- space (for i =0,1,2) and
obtain the characterization of gr –regular space , gr- normal space by using the notion of gr-open
sets. Further, some of their properties and results are discussed.
8 fixed point theorem in complete fuzzy metric space 8 megha shrivastavaBIOLOGICAL FORUM
ABSTRACT: In this paper our works establish a new fixed point theorem for a different type of mapping in complete fuzzy metric space. Here we define a mapping by using some proved results and obtain a result on the actuality of fixed points. We inspired by the concept of Hossein Piri and Poom Kumam [15]. They introduced the fixed point theorem for generalized F-suzuki -contraction mappings in complete b-metric space. Next Robert plebaniak [16] express his idea by result “New generalized fuzzy metric space and fixed point theorem in fuzzy metric space”. This paper also induces comparing of the outcome with existing result in the literature.
Keywords: Fuzzy set, Fuzzy metric space, Cauchy sequence Non- decreasing sequence, Fixed point, Mapping.
(𝛕𝐢, 𝛕𝐣)− RGB Closed Sets in Bitopological SpacesIOSR Journals
In this paper we introduce and study the concept of a new class of closed sets called (𝜏𝑖, 𝜏𝑗)− regular generalized b- closed sets (briefly(𝜏𝑖, 𝜏𝑗)− rgb-closed) in bitopological spaces.Further we define and study new neighborhood namely (𝜏𝑖, 𝜏𝑗)− rgb- neighbourhood (briefly(𝜏𝑖, 𝜏𝑗)− rgb-nhd) and discuss some of their properties in bitopological spaces. Also, we give some characterizations and applications of it.
ON OPTIMALITY OF THE INDEX OF SUM, PRODUCT, MAXIMUM, AND MINIMUM OF FINITE BA...UniversitasGadjahMada
Chaatit, Mascioni, and Rosenthal de ned nite Baire index for a bounded real-valued function f on a separable metric space, denoted by i(f), and proved that for any bounded functions f and g of nite Baire index, i(h) i(f) + i(g), where h is any of the functions f + g, fg, f ˅g, f ^ g. In this paper, we prove that the result is optimal in the following sense : for each n; k < ω, there exist functions f; g such that i(f) = n, i(g) = k, and i(h) = i(f) + i(g).
Fixed Point Results In Fuzzy Menger Space With Common Property (E.A.)IJERA Editor
This paper presents some common fixed point theorems for weakly compatible mappings via an implicit relation in Fuzzy Menger spaces satisfying the common property (E.A)
In this paper, we introduce the concept of residual quotient of intuitionistic fuzzy subsets of ring and module and then define the notion of residual quotient intuitionistic fuzzy submodules , residual quotient intuitionistic fuzzy ideals. We study many properties of residual quotient relating to union, intersection, sum of intuitionistic fuzzy submodules (ideals). Using the concept of residual quotient, we investigate some important characterization of intuitionistic fuzzy annihilator of subsets of ring and module. We also study intuitionistic fuzzy prime submodules with the help of intuitionistic fuzzy annihilators. Many related properties are defined and discussed.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is a team of researchers not publication services or private publications running the journals for monetary benefits, we are association of scientists and academia who focus only on supporting authors who want to publish their work. The articles published in our journal can be accessed online, all the articles will be archived for real time access.
Our journal system primarily aims to bring out the research talent and the works done by sciaentists, academia, engineers, practitioners, scholars, post graduate students of engineering and science. This journal aims to cover the scientific research in a broader sense and not publishing a niche area of research facilitating researchers from various verticals to publish their papers. It is also aimed to provide a platform for the researchers to publish in a shorter of time, enabling them to continue further All articles published are freely available to scientific researchers in the Government agencies,educators and the general public. We are taking serious efforts to promote our journal across the globe in various ways, we are sure that our journal will act as a scientific platform for all researchers to publish their works online.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is a team of researchers not publication services or private publications running the journals for monetary benefits, we are association of scientists and academia who focus only on supporting authors who want to publish their work. The articles published in our journal can be accessed online, all the articles will be archived for real time access.
Our journal system primarily aims to bring out the research talent and the works done by sciaentists, academia, engineers, practitioners, scholars, post graduate students of engineering and science. This journal aims to cover the scientific research in a broader sense and not publishing a niche area of research facilitating researchers from various verticals to publish their papers. It is also aimed to provide a platform for the researchers to publish in a shorter of time, enabling them to continue further All articles published are freely available to scientific researchers in the Government agencies,educators and the general public. We are taking serious efforts to promote our journal across the globe in various ways, we are sure that our journal will act as a scientific platform for all researchers to publish their works online.
International Journal of Engineering Research and Applications (IJERA) is a team of researchers not publication services or private publications running the journals for monetary benefits, we are association of scientists and academia who focus only on supporting authors who want to publish their work. The articles published in our journal can be accessed online, all the articles will be archived for real time access.
Our journal system primarily aims to bring out the research talent and the works done by sciaentists, academia, engineers, practitioners, scholars, post graduate students of engineering and science. This journal aims to cover the scientific research in a broader sense and not publishing a niche area of research facilitating researchers from various verticals to publish their papers. It is also aimed to provide a platform for the researchers to publish in a shorter of time, enabling them to continue further All articles published are freely available to scientific researchers in the Government agencies,educators and the general public. We are taking serious efforts to promote our journal across the globe in various ways, we are sure that our journal will act as a scientific platform for all researchers to publish their works online.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
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.
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.
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.
International Journal of Mathematics and Statistics Invention (IJMSI) inventionjournals
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, 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.
Common Fixed Point Theorems in Uniform SpacesIJLT EMAS
In the process of generalization of metric spaces to
Topological spaces, a few aspects of metric spaces are lost.
Therefore, the requirement of generalization of metric spaces
leads to the theory of uniform spaces. Uniform spaces stand
somewhere in between metric spaces and general topological
spaces. Khan[6] extended fixed point theorems due to Hardy and
Rogers[2], Jungck[4] and Acharya[1] in uniform space by
obtaining some results on common fixed points for a pair of
commuting mappings defined on a sequentially complete
Hausdorff uniform space. Rhoades et. al.[7] generalized the
result of Khan[6] by establishing a general fixed point theorem
for four compatible maps in uniform space .
In this paper, a common fixed point theorem in
uniform spaces is proved which generalizes the result of Khan[6]
and Rhoades et al.[7] by employing the less restrictive condition
of weak compatibility for one pair and the condition of
compatibility for second pair, the result is proved for six selfmappings.
A Fixed Point Theorem Using Common Property (E. A.) In PM Spacesinventionjournals
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, 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.
Builder.ai Founder Sachin Dev Duggal's Strategic Approach to Create an Innova...Ramesh Iyer
In today's fast-changing business world, Companies that adapt and embrace new ideas often need help to keep up with the competition. However, fostering a culture of innovation takes much work. It takes vision, leadership and willingness to take risks in the right proportion. Sachin Dev Duggal, co-founder of Builder.ai, has perfected the art of this balance, creating a company culture where creativity and growth are nurtured at each stage.
Search and Society: Reimagining Information Access for Radical FuturesBhaskar Mitra
The field of Information retrieval (IR) is currently undergoing a transformative shift, at least partly due to the emerging applications of generative AI to information access. In this talk, we will deliberate on the sociotechnical implications of generative AI for information access. We will argue that there is both a critical necessity and an exciting opportunity for the IR community to re-center our research agendas on societal needs while dismantling the artificial separation between the work on fairness, accountability, transparency, and ethics in IR and the rest of IR research. Instead of adopting a reactionary strategy of trying to mitigate potential social harms from emerging technologies, the community should aim to proactively set the research agenda for the kinds of systems we should build inspired by diverse explicitly stated sociotechnical imaginaries. The sociotechnical imaginaries that underpin the design and development of information access technologies needs to be explicitly articulated, and we need to develop theories of change in context of these diverse perspectives. Our guiding future imaginaries must be informed by other academic fields, such as democratic theory and critical theory, and should be co-developed with social science scholars, legal scholars, civil rights and social justice activists, and artists, among others.
UiPath Test Automation using UiPath Test Suite series, part 4DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 4. In this session, we will cover Test Manager overview along with SAP heatmap.
The UiPath Test Manager overview with SAP heatmap webinar offers a concise yet comprehensive exploration of the role of a Test Manager within SAP environments, coupled with the utilization of heatmaps for effective testing strategies.
Participants will gain insights into the responsibilities, challenges, and best practices associated with test management in SAP projects. Additionally, the webinar delves into the significance of heatmaps as a visual aid for identifying testing priorities, areas of risk, and resource allocation within SAP landscapes. Through this session, attendees can expect to enhance their understanding of test management principles while learning practical approaches to optimize testing processes in SAP environments using heatmap visualization techniques
What will you get from this session?
1. Insights into SAP testing best practices
2. Heatmap utilization for testing
3. Optimization of testing processes
4. Demo
Topics covered:
Execution from the test manager
Orchestrator execution result
Defect reporting
SAP heatmap example with demo
Speaker:
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
Accelerate your Kubernetes clusters with Varnish CachingThijs Feryn
A presentation about the usage and availability of Varnish on Kubernetes. This talk explores the capabilities of Varnish caching and shows how to use the Varnish Helm chart to deploy it to Kubernetes.
This presentation was delivered at K8SUG Singapore. See https://feryn.eu/presentations/accelerate-your-kubernetes-clusters-with-varnish-caching-k8sug-singapore-28-2024 for more details.
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024Tobias Schneck
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Let me take this questions and provide you a short journey through existing deployment models and use cases for AI software. On practical examples, we discuss what cloud/on-premise strategy we may need for applying it to our own infrastructure to get it to work from an enterprise perspective. I want to give an overview about infrastructure requirements and technologies, what could be beneficial or limiting your AI use cases in an enterprise environment. An interactive Demo will give you some insides, what approaches I got already working for real.
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...DanBrown980551
Do you want to learn how to model and simulate an electrical network from scratch in under an hour?
Then welcome to this PowSyBl workshop, hosted by Rte, the French Transmission System Operator (TSO)!
During the webinar, you will discover the PowSyBl ecosystem as well as handle and study an electrical network through an interactive Python notebook.
PowSyBl is an open source project hosted by LF Energy, which offers a comprehensive set of features for electrical grid modelling and simulation. Among other advanced features, PowSyBl provides:
- A fully editable and extendable library for grid component modelling;
- Visualization tools to display your network;
- Grid simulation tools, such as power flows, security analyses (with or without remedial actions) and sensitivity analyses;
The framework is mostly written in Java, with a Python binding so that Python developers can access PowSyBl functionalities as well.
What you will learn during the webinar:
- For beginners: discover PowSyBl's functionalities through a quick general presentation and the notebook, without needing any expert coding skills;
- For advanced developers: master the skills to efficiently apply PowSyBl functionalities to your real-world scenarios.
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Let's dive deeper into the world of ODC! Ricardo Alves (OutSystems) will join us to tell all about the new Data Fabric. After that, Sezen de Bruijn (OutSystems) will get into the details on how to best design a sturdy architecture within ODC.
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The software team must secure its software delivery process to avoid vulnerability and security breaches. This needs to be achieved with existing tool chains and without extensive rework of the delivery processes. This talk will present strategies and techniques for providing visibility into the true risk of the existing vulnerabilities, preventing the introduction of security issues in the software, resolving vulnerabilities in production environments quickly, and capturing the deployment bill of materials (DBOM).
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Bob Boule
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We believe integration and automation are essential to user experience and the promise of efficient work through technology. Automation is the critical ingredient to realizing that full vision. We develop integration products and services for Bonterra Case Management software to support the deployment of automations for a variety of use cases.
This video focuses on the notifications, alerts, and approval requests using Slack for Bonterra Impact Management. The solutions covered in this webinar can also be deployed for Microsoft Teams.
Interested in deploying notification automations for Bonterra Impact Management? Contact us at sales@sidekicksolutionsllc.com to discuss next steps.
FIDO Alliance Osaka Seminar: Passkeys and the Road Ahead.pdf
E42012426
1. K. Prudhvi Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.24-26
RESEARCH ARTICLE
www.ijera.com
OPEN ACCESS
Common Fixed Points for Occasionally Weakly Compatible
Mappings in Cone Metric Spaces
K. Prudhvi
Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Andhra
Pradesh, India.
ABSTRACT
In this paper, we obtain some common fixed point theorems for occasionally weakly compatible mappings in
cone metric spaces. Our results generalized and extend several existing fixed point theorems in the literature.
AMS Mathematical Subject Classification (2010): 47H10, 54H25.
Keywords – Occasionally weakly compatible, coincidence point, cone metric space, fixed point.
Definition 1.2. Let P be a cone in a Banach Space B,
define partial ordering ‘ ’ with respect to P by x y
I.
INTRODUCTION AND
PRELIMINARIES
if and only if y-x P .We shall write x<y to indicate
x y but x y while x<<y will stand for y-x Int P,
In 1968 Kannan [7] was initiated study of fixed point
where Int P denotes the interior of the set P. This
theorems for a map satisfying a contractive condition
Cone P is called an order cone.
that did not require continuity at each point. The
notion of weakly commuting maps was initiated by
Definition 1.3. Let B be a Banach Space and P B
Sessa [9].Jungck[5]gave the concept of of compatible
be an order cone .The order cone P is called normal if
maps and showed that weakly commuting mappings
there exists L>0 such that for all x,y B,
are compatible, but converse is not true. Junck further
0≤x≤y implies ║x║≤L║y║.
weakened the notion of compatibility by introducing
The least positive number L satisfying the above
weak compatibility. Pant [8] initiated the study of
inequality is called the normal constant of P.
non compatible maps and introduced point wise Rweakly commutativity of mappings.Aamri and
Definition 1.4. Let X be a nonempty set of B.
Moutawakil [2] introduced the (E.A) property and
Suppose that the map d: X X B satisfies:
thus generalized the concept of non-compatible maps.
(d1).0≤ d(x, y) for all x, y X and d(x, y) = 0
Recently, Al-Thagafi and Shahzad [1] defined the
if and only if x = y ;
concept of occasionally weakly compatible(owc)
(d2).d(x, y) = d(y, x) for all x, y X ;
which is more general than the concept of weakly
compatible maps. In 2007 Huang and Zhang [4] have
(d3).d(x, y) d(x, z) +d(y, z) for all x, y, z X .
generalized the concept of a metric space, replacing
the set of real numbers by an ordered Banach space
Then d is called a cone metric on X and (X, d) is
and obtained some fixed point theorems for mapping
called a cone metric space.
satisfying different contractive conditions. In this
The concept of a cone metric space is more general
paper we prove common fixed point theorems for
than that of a metric space.
occasionally weakly compatible mappings in cone
metric spaces. Our results extends the results of
Example 1.5. ([4]). Let B =R2, P = {(x , y) B such
Guangxing Song et.al.[3] and S.L.Singh et.al.[10].
that : x, y ≥ 0} R2, X = R and d: X × X→B such
that d(x,y) = (│x - y│, α│x - y│),where α ≥ 0 is a
The following definitions are due to Huang and
constant .Then (X, d) is a cone metric space.
Zhang [4].
Definition 1.1. Let B be a real Banach Space and P a
Definition 1.6. Let (X, d) be a cone metric space. We
subset of B .The set P is called a cone if and only if:
say that {xn} is
(a). P is closed, non –empty and P {0};
(i) a Cauchy sequence if for every c in B with
c>>0,there is N such that for all n, m>N,
(b). a,b R , a,b 0 ,x,y P implies ax+by P ;
d(xn, xm)<<c ;
(c). x P and -x P implies x =0.
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2. K. Prudhvi Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.24-26
(ii) convergent sequence if for any c>>0,there is an
N such that for all n>N, d(xn, x) <<c, for some
fixed x in X .We denote this xn x (as ) .
Lemma 1.1. Let (X, d) be a cone metric space, and
let P be a normal cone with normal constant L.
Let {xn } be a sequence in X .Then
(i). {xn } converges to x if and only if d(xn ,x)→ 0
(n ).
(ii). {xn } is a Cauchy sequence if and only if
d (xn , xm )→0 (as n, m→∞).
Definition 1.7. ([6]) Let X be a set and let f, g be two
self-mappings of X. A point x in X is called a
coincidence point of f and g iff fx = gx. We shall call
w = fx = gx a point of coincidence point.
Definition 1.8. ([6]) Two self-maps f and g of a set X
are occasionally weakly compatible(owc) iff there is
a point x in X which is a coincidence point of f and g
at which f and g commutate.
Lemma 1.2.([6]) Let X be a set f, g owc selfmappings of X. If f and g have a unique point of
coincidence, w = fx = gx, then w is the unique
common fixed point of f and g.
II.
MAIN RESULTS
In this section, we prove some common
fixed point theorems for occasionally weakly
compatible in cone metric spaces.
Now we prove the following theorem.
Theorem (2.1): Let (X, d) be a cone metric space
and P be a normal cone, let ai ≥ 0 (i=1,2, 3, 4, 5) be
constants with a1 + a2 +a3 +a4 +a5<1, and f, g self
maps of X, f and g are occasionally weakly
compatible(owc) , and satisfying
d(fx,fy) a1d(gx,gy)+a2d(fx,gx)+a3d(fy,gy)
+a4 d(gx,fy)+ a5d(fx,gy) for all x, y X.
… (1)
Then f and g have a unique common fixed point.
Proof: Since, f, g are owc, there exists a point p X
such that fp = gp, fgp = gfp.
We claim that fp is the unique common fixed point of
f and g.
First we assert that fp is a fixed point of f.
For, if ffp fp, then from (1), we get that
d(fp,ffp) a1d(gp, gfp)+a2 d(fp,gp)+a3 d(ffp,gfp)
+ a4 d(gp,ffp)+ a5d(fp,gfp) ,
a1d(fp, ffp)+a2 d(fp,fp)+a3 d(ffp,gfp)
+a4 d(gp,ffp)+ a5d(fp,ffp) ,
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+ a4 d(gp,ffp)+ a5d(fp,ffp) ,
(a1+ a3 + a4 + a5) d(fp,ffp) + a3 d(fp,ffp),
(a1 + 2a3 + a4 + a5) d(fp,ffp) ,
a contradiction . Sine, a1 + a2 +a3 +a4 +a5<1.
Hence, ffp = fp , fp is a fixed point of f .
And ffp = fgp = gfp = fp.
Thus, fp is a common fixed point of f and g.
Uniqueness, Suppose that p,q X such that
fp = gp = p and fq = gq =q and p q..
Then ( 1 ) gives,
d(p,q) = d(fp,fq)
a d(gp,gq)+a d(fp,gp)+a d(fq,gq)
1
2
3
+a4 d(gp,fq)+ a5d(fp,gq),
a d(p,q)+a d(p,p)+a
1
2
3
d(q,q)+a4 d(p,q)
+ a5d(p,q),
a d(p,q)+0+0)+ a d(p,q)+ a d(p,q),
(a +a +a )d(p,q)<d(p,q),a contradiction.
1
1
4
4
5
5
(Since, a1 + a2 +a3 +a4 +a5<1)
Therefore, p = q.
Therefore, f and g have a unique common fixed
point.
Theorem (2.2): Let (X, d) be a cone metric space
and P be a normal cone. Suppose T and f are
occasionally weakly compatible(owc), self- mappings
of X, and satisfying the following conditions
d(Tx,Ty) φ(g(x,y)) for all x,y X …
(2)
where, g(x,y) = d(fx,fy)+γ[ d(fx, Tx)+ d(fy,Ty)],
0≤γ≤1, and φ: R+ → R+ continuous.
Then T and f have a unique common fixed point.
Proof: Since, T, f are owc, there exists a point u X
such that Tu = fu, Tfu = fTu.
We claim that fu is the unique common fixed point of
T and f.
First we assert that fu is a fixed point of f.
For, if ffu fu, then from (2), we get that
d(fu, ffu) = d(Tu, Tfu) φ(g(u, fu))
φ( d(fu,ffu)+γ[ d(fu, Tu)+ d(ffu,Tfu)]),
φ( d(fu, ffu)+γ[ d(Tu, Tu)+ d(ffu,ffu)]),
φ(d(fu,ffu))< d(fu, ffu), a contradiction.
Therefore, ffu = fu, fu is a fixed point of f.
And ffu = Tfu = fTu = fu.
Thus, fu is a common fixed point of f and T.
Uniqueness, suppose that u, v X such that
fu = Tu = u and fv = Tv =v and u v.
Then (2) gives,
d(u,v) = d(Tu, Tv) φ(g(u, v))
φ( d(fu, fv)+γ[ d(fu, Tu)+ d(fv,Tv)]) ,
φ( d(u, v) )< d(u, v), a contradiction.
Therefore, u = v.
Therefore, T and f have a unique common fixed
point.
a1d(fp,ffp)+0+a3d(ffp,fp)+ a3 d(fp,fgp)
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25 | P a g e
3. K. Prudhvi Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.24-26
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REFERENCES
[6]
M.Amari, D.El Moutawakil, Some new
common fixed point theorems under strict
contractive conditions, J.Math.Anal.Appl.
270(2002)181-188.
R.Kannan, Some results on fixed points,
Bull. Calcutta Math.Soc. 60(1968),71-76.
[8]
R.P.Pant, Common fixed points of four
maps, Bull.Calcutta Math. Soc.90(1998),
281-286.
[9]
S.Seasa, On a weak commutativity condition
of mappings in fixed point considerations,
Publ. Inst. Math. 32(1982)149-153.
[10]
S.L.Singh, Apichai Hematulin and R.P.Pant,
New coincidence and common fixed point
theorem, Applied General Topology
10(2009),no.1, 121-130.
M.A.Al-Thagafi and Naseer Shaszad,
Generalized I–nonexpansive selfmaps and
invariant approximations, Acta Mathematics
Sinica, 24(2008), 867-876.
[2]
G.Jungck and B.E.Rhoades, Fixed point
theorems
for
occasionally
weakly
compatible
mappings,
Fixed
Point
Theory,7(2006), 286-296.
[7]
[1]
[3]
Guangxing Song, Xiaoyan Sun, Yian Zhao,
Guotao Wang, New common fixed point
theorems for maps on cone metric spaces,
Appl. Math .Lett. 32(2010)1033-1037.
[4]
L.G.Huang, X.Zhang, Cone metric spaces
and fixed point theorems of contractive
mappings,J.Math.Anal.Appl.332(2)(2007)14
68-1476.
[5]
G.Jungck, Compatible mappings and
Common fixed points, Int.J.Math and
Math.Sci., 9(1986),771-779.
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