Fixed Point Theory and Graph Theory

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

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  • Author : Monther Alfuraidan
  • Publisher : Academic Press
  • Pages : 442 pages
  • ISBN : 0128043652
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKFixed Point Theory and Graph Theory

Fixed Point Theory and Graph Theory

Fixed Point Theory and Graph Theory
  • Author : Monther Alfuraidan,Qamrul Ansari
  • Publisher : Academic Press
  • Release : 20 June 2016
GET THIS BOOKFixed Point Theory and Graph Theory

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

Handbook of Metric Fixed Point Theory
  • Author : W.A. Kirk,B. Sims
  • Publisher : Springer Science & Business Media
  • Release : 17 April 2013
GET THIS BOOKHandbook of Metric Fixed Point Theory

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

Topics in Metric Fixed Point Theory

Topics in Metric Fixed Point Theory
  • Author : Kazimierz Goebel,W. A. Kirk
  • Publisher : Cambridge University Press
  • Release : 28 September 1990
GET THIS BOOKTopics in Metric Fixed Point Theory

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.

Fixed Point Theory and Related Topics

Fixed Point Theory and Related Topics
  • Author : Hsien-ChungWu
  • Publisher : MDPI
  • Release : 13 March 2020
GET THIS BOOKFixed Point Theory and Related Topics

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

Advances in Metric Fixed Point Theory and Applications

Advances in Metric Fixed Point Theory and Applications
  • Author : Yeol Je Cho,Mohamed Jleli,Mohammad Mursaleen,Bessem Samet,Calogero Vetro
  • Publisher : Springer Nature
  • Release : 05 June 2021
GET THIS BOOKAdvances in Metric Fixed Point Theory and Applications

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

Fixed Point Theory and Applications

Fixed Point Theory and Applications
  • Author : Yeol Je Cho
  • Publisher : Nova Publishers
  • Release : 01 August 2007
GET THIS BOOKFixed Point Theory and Applications

This volume deals with new topics in the areas of fixed point theory, variational inequality and complementarity problem theory, non-linear ergodic theory, difference, differential and integral equations, control and optimisation theory, dynamic system theory, inequality theory, stochastic analysis and probability theory, and their applications.

Advanced Topics in Mathematical Analysis

Advanced Topics in Mathematical Analysis
  • Author : Michael Ruzhansky,Hemen Dutta
  • Publisher : CRC Press
  • Release : 08 January 2019
GET THIS BOOKAdvanced Topics in Mathematical Analysis

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.

Ordered Sets

Ordered Sets
  • Author : Bernd Schröder
  • Publisher : Birkhäuser
  • Release : 11 May 2016
GET THIS BOOKOrdered Sets

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.

Fixed Point Theory in Distance Spaces

Fixed Point Theory in Distance Spaces
  • Author : William Kirk,Naseer Shahzad
  • Publisher : Springer
  • Release : 23 October 2014
GET THIS BOOKFixed Point Theory in Distance Spaces

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’

Linear and Multilinear Algebra and Function Spaces

Linear and Multilinear Algebra and Function Spaces
  • Author : A. Bourhim,J. Mashreghi,L. Oubbi,Z. Abdelali
  • Publisher : American Mathematical Soc.
  • Release : 05 May 2020
GET THIS BOOKLinear and Multilinear Algebra and Function Spaces

This volume contains the proceedings of the International Conference on Algebra and Related Topics, held from July 2–5, 2018, at Mohammed V University, Rabat, Morocco. Linear reserver problems demand the characterization of linear maps between algebras that leave invariant certain properties or certain subsets or relations. One of the most intractable unsolved problems is Kaplansky's conjecture: every surjective unital invertibility preserving linear map between two semisimple Banach algebras is a Jordan homomorphism. Recently, there has been an upsurge of interest in nonlinear

The Seventh European Conference on Combinatorics, Graph Theory and Applications

The Seventh European Conference on Combinatorics, Graph Theory and Applications
  • Author : Jaroslav Nešetřil,Marco Pellegrini
  • Publisher : Springer Science & Business Media
  • Release : 18 January 2014
GET THIS BOOKThe Seventh European Conference on Combinatorics, Graph Theory and Applications

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.

Fixed Point Theory and Applications

Fixed Point Theory and Applications
  • Author : Ravi P. Agarwal,Maria Meehan,Donal O'Regan
  • Publisher : Cambridge University Press
  • Release : 22 March 2001
GET THIS BOOKFixed Point Theory and Applications

This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented. The theory is applied to many areas of interest in analysis. Topological considerations play a crucial role, including a final chapter on the relationship with degree theory. Researchers

Topological Fixed Point Theory and Applications

Topological Fixed Point Theory and Applications
  • Author : Boju Jiang
  • Publisher : Springer
  • Release : 14 November 2006
GET THIS BOOKTopological Fixed Point Theory and Applications

This selection of papers from the Beijing conference gives a cross-section of the current trends in the field of fixed point theory as seen by topologists and analysts. Apart from one survey article, they are all original research articles, on topics including equivariant theory, extensions of Nielsen theory, periodic orbits of discrete and continuous dynamical systems, and new invariants and techniques in topological approaches to analytic problems.