# Fixed Point Theory and Graph Theory

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- Author : Monther Alfuraidan
- Publisher : Academic Press
- Release : 20 June 2016
- ISBN : 9780128043653
- Page : 442 pages
- Rating : 4.5/5 from 103 voters

## Download Fixed Point Theory and Graph Theory in PDF, Epub and Kindle

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

### Fixed Point Theory and Graph Theory

- Author : Monther Alfuraidan,Qamrul Ansari
- Publisher : Academic Press
- Release Date : 2016-06-20
- ISBN : 9780128043653

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

### Handbook of Metric Fixed Point Theory

- Author : W.A. Kirk,B. Sims
- Publisher : Springer Science & Business Media
- Release Date : 2013-04-17
- ISBN : 9789401717489

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 the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the

### Fixed Point Theory and Graph Theory

- Author : Monther Alfuraidan,Qamrul Ansari
- Publisher : Academic Press
- Release Date : 2016-06-15
- ISBN : 0128042958

" 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

### Fixed Point Theory in Distance Spaces

- Author : William Kirk,Naseer Shahzad
- Publisher : Springer
- Release Date : 2014-10-23
- ISBN : 9783319109275

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 the theory has been written about extensively. There are four classical fixed point theorems against which metric extensions are usually checked. These are, respectively, the Banach contraction mapping principal, Nadler’

### Evasiveness of Graph Properties and Topological Fixed-Point Theorems

- Author : Carl A. Miller
- Publisher : Unknown
- Release Date : 2013
- ISBN : 1601986645

Evasiveness of Graph Properties and Topological Fixed-Point Theorems provides the reader with an integrated treatment of the underlying proofs in the body of research around the use of topological methods to prove lower bounds on the complexity of graph properties.

### Fixed Point Theory and Related Topics

- Author : Hsien-ChungWu
- Publisher : MDPI
- Release Date : 2020-03-13
- ISBN : 9783039284320

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 to obtain the approximated solution. Fixed points of function depend heavily on the considered spaces that are defined using the intuitive axioms. In particular, variant metrics spaces are proposed, like

### Metric Fixed Point Theory

- Author : Pradip Debnath,Nabanita Konwar,Stojan Radenović
- Publisher : Springer Nature
- Release Date : 2022-01-04
- ISBN : 9789811648960

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 book presents the study of common fixed points in a generalized metric space and fixed point results with applications in various modular metric spaces. New insight into parametric metric spaces

### Higher-Order Fixed Point Theory in Partial Metric Spaces: Some Results Generalizing the Hardy-Rogers Map

- Author : Clement Ampadu
- Publisher : Lulu.com
- Release Date : 2023-01-29
- ISBN : 9781365563607

### Advances in Metric Fixed Point Theory and Applications

- Author : Yeol Je Cho,Mohamed Jleli,Mohammad Mursaleen,Bessem Samet,Calogero Vetro
- Publisher : Springer Nature
- Release Date : 2021-06-05
- ISBN : 9789813366473

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; fixed point property and almost fixed point property in digital spaces, nonexpansive semigroups over CAT(κ) spaces, measures of noncompactness, integral equations, the study of fixed points that are zeros of

### Topics in Metric Fixed Point Theory

- Author : Kazimierz Goebel,W. A. Kirk
- Publisher : Cambridge University Press
- Release Date : 1990
- ISBN : 0521382890

Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. This book aims to offer the mathematical community an accessible, self-contained account which can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including non-specialists, and provide a source of examples, references and new approaches for those currently working in the subject.

### Advanced Fixed Point Theory for Economics

- Author : Andrew McLennan
- Publisher : Springer
- Release Date : 2018-07-03
- ISBN : 9789811307102

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 has no mathematical knowledge beyond that which is familiar to all theoretical economists. In addition to making the material available to a broad audience, avoiding algebraic topology results in more

### Ordered Sets

- Author : Bernd Schröder
- Publisher : Birkhäuser
- Release Date : 2016-05-11
- ISBN : 9783319297880

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 classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.

### Advanced Topics in Mathematical Analysis

- Author : Michael Ruzhansky,Hemen Dutta
- Publisher : CRC Press
- Release Date : 2019-01-08
- ISBN : 9781351142113

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.

### The Seventh European Conference on Combinatorics, Graph Theory and Applications

- Author : Jaroslav Nešetřil,Marco Pellegrini
- Publisher : Springer Science & Business Media
- Release Date : 2014-01-18
- ISBN : 9788876424755

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 number theory, combinatorial optimization, designs and configurations, enumerative combinatorics, extremal combinatorics, ordered sets, random methods, topological combinatorics.

### Metric Fixed Point Theory

- Author : Pradip Debnath,Nabanita Konwar,Stojan Radenović
- Publisher : Springer
- Release Date : 2022-02-10
- ISBN : 9811648956

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 book presents the study of common fixed points in a generalized metric space and fixed point results with applications in various modular metric spaces. New insight into parametric metric spaces