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- Fixed Point Theory and Graph Theory

- Author : Monther Alfuraidan
- Publsiher : Academic Press
- Release : 20 June 2016
- ISBN : 0128043652
- Pages : 442 pages
- Rating : 4/5 from 21 reviews

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Read or download book entitled Fixed Point Theory and Graph Theory written by Monther Alfuraidan which was release on 20 June 2016, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. Book excerpt: Fixed Point Theory and Graph Theory provides an intersection between the theories of fixed point theorems that give the conditions under which maps (single or multivalued) have solutions and graph theory which uses mathematical structures to illustrate the relationship between ordered pairs of objects in terms of their vertices and directed edges. This edited reference work is perhaps the first to provide a link between the two theories, describing not only their foundational aspects, but also the most recent advances and the fascinating intersection of the domains. The authors provide solution methods for fixed points in different settings, with two chapters devoted to the solutions method for critically important non-linear problems in engineering, namely, variational inequalities, fixed point, split feasibility, and hierarchical variational inequality problems. The last two chapters are devoted to integrating fixed point theory in spaces with the graph and the use of retractions in the fixed point theory for ordered sets. Introduces both metric fixed point and graph theory in terms of their disparate foundations and common application environments Provides a unique integration of otherwise disparate domains that aids both students seeking to understand either area and researchers interested in establishing an integrated research approach Emphasizes solution methods for fixed points in non-linear problems such as variational inequalities, split feasibility, and hierarchical variational inequality problems that is particularly appropriate for engineering and core science applications

- Author : Monther Alfuraidan,Qamrul Ansari
- Publisher : Academic Press
- Release Date : 2016-06-20
- Total pages : 442
- ISBN : 0128043652

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**Summary :** Fixed Point Theory and Graph Theory provides an intersection between the theories of fixed point theorems that give the conditions under which maps (single or multivalued) have solutions and graph theory which uses mathematical structures to illustrate the relationship between ordered pairs of objects in terms of their vertices and ...

- Author : W.A. Kirk,B. Sims
- Publisher : Springer Science & Business Media
- Release Date : 2013-04-17
- Total pages : 704
- ISBN : 0128043652

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**Summary :** Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is ...

- Author : William Kirk,Naseer Shahzad
- Publisher : Springer
- Release Date : 2014-10-23
- Total pages : 173
- ISBN : 0128043652

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**Summary :** This is a monograph on fixed point theory, covering the purely metric aspects of the theory–particularly results that do not depend on any algebraic structure of the underlying space. Traditionally, a large body of metric fixed point theory has been couched in a functional analytic framework. This aspect of ...

- Author : Pradip Debnath,Nabanita Konwar,Stojan Radenović
- Publisher : Springer Nature
- Release Date : 2022-01-04
- Total pages : 353
- ISBN : 0128043652

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**Summary :** This book collects chapters on contemporary topics on metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences. Chapters contributed by renowned researchers from across the world, this book includes several useful tools and techniques for the development of skills and expertise in the area. The ...

- Author : Hsien-ChungWu
- Publisher : MDPI
- Release Date : 2020-03-13
- Total pages : 236
- ISBN : 0128043652

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**Summary :** Fixed point theory arose from the Banach contraction principle and has been studied for a long time. Its application mostly relies on the existence of solutions to mathematical problems that are formulated from economics and engineering. After the existence of the solutions is guaranteed, the numerical methodology will be established ...

- Author : Clement Ampadu
- Publisher : Lulu.com
- Release Date : 2022-08-12
- Total pages : 212
- ISBN : 0128043652

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**Summary :** Download or read online Higher Order Fixed Point Theory in Partial Metric Spaces Some Results Generalizing the Hardy Rogers Map written by Clement Ampadu, published by Lulu.com which was released on . Get Higher Order Fixed Point Theory in Partial Metric Spaces Some Results Generalizing the Hardy Rogers Map Books ...

- Author : Yeol Je Cho,Mohamed Jleli,Mohammad Mursaleen,Bessem Samet,Calogero Vetro
- Publisher : Springer Nature
- Release Date : 2021-06-05
- Total pages : 503
- ISBN : 0128043652

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**Summary :** This book collects papers on major topics in fixed point theory and its applications. Each chapter is accompanied by basic notions, mathematical preliminaries and proofs of the main results. The book discusses common fixed point theory, convergence theorems, split variational inclusion problems and fixed point problems for asymptotically nonexpansive semigroups; ...

- Author : Andrew McLennan
- Publisher : Springer
- Release Date : 2018-07-03
- Total pages : 432
- ISBN : 0128043652

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**Summary :** This book develops the central aspect of fixed point theory – the topological fixed point index – to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics. Numerous topological consequences are presented, along with important implications for dynamical systems. The book assumes the reader ...

- Author : Michael Ruzhansky,Hemen Dutta
- Publisher : CRC Press
- Release Date : 2019-01-08
- Total pages : 588
- ISBN : 0128043652

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**Summary :** Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to present theory, methods, and applications of the selected topics that have significant, useful relevance to contemporary research....

- Author : Bernd Schröder
- Publisher : Birkhäuser
- Release Date : 2016-05-11
- Total pages : 420
- ISBN : 0128043652

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**Summary :** An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new ...

- Author : Jaroslav Nešetřil,Marco Pellegrini
- Publisher : Springer Science & Business Media
- Release Date : 2014-01-18
- Total pages : 600
- ISBN : 0128043652

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**Summary :** In the tradition of EuroComb'01 (Barcelona), Eurocomb'03 (Prague), EuroComb'05 (Berlin), Eurocomb'07 (Seville), Eurocomb'09 (Bordeaux), and Eurocomb'11 (Budapest), this volume covers recent advances in combinatorics and graph theory including applications in other areas of mathematics, computer science and engineering. Topics include, but are not limited to: Algebraic combinatorics, combinatorial geometry, combinatorial ...

- Author : Dhananjay Gopal,Praveen Agarwal,Poom Kumam
- Publisher : CRC Press
- Release Date : 2022-04-07
- Total pages : 302
- ISBN : 0128043652

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**Summary :** It is an indisputable argument that the formulation of metrics (by Fréchet in the early 1900s) opened a new subject in mathematics called non-linear analysis after the appearance of Banach’s fixed point theorem. Because the underlying space of this theorem is a metric space, the theory that developed ...

- Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
- Publisher : Infinite Study
- Release Date : 2022-08-12
- Total pages : 662
- ISBN : 0128043652

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**Summary :** “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc....

- Author : Anuradha,Seema Mehra
- Publisher : Infinite Study
- Release Date : 2020-12-01
- Total pages : 16
- ISBN : 0128043652

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**Summary :** The concept of neutrosophic triplet firstly introduced by F. Smarandache and M. Ali. This notion (neutrosophic triplet) is a group of three elements that satisfy certain properties with some binary operation. These neutrosophic triplets highly depends on the proposed binary operation. In this article, we make some observations concerning Neutrosophic ...

- Author : Pradip Debnath
- Publisher : Springer Nature
- Release Date : 2022-08-12
- Total pages : 212
- ISBN : 0128043652

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**Summary :** Download or read online Fixed Point Theory and Fractional Calculus written by Pradip Debnath, published by Springer Nature which was released on . Get Fixed Point Theory and Fractional Calculus Books now! Available in PDF, ePub and Kindle....