Fixed Point Theory and Graph Theory

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  • Author : Monther Alfuraidan
  • Publisher : Academic Press
  • Pages : 442 pages
  • ISBN : 0128043652
  • Rating : /5 from reviews
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Download or Read online Fixed Point Theory and Graph Theory full in PDF, ePub and kindle. this book written by Monther Alfuraidan and published by Academic Press which was released on 20 June 2016 with total page 442 pages. We cannot guarantee that Fixed Point Theory and Graph Theory book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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

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

Fixed Point Theory

Fixed Point Theory
  • Author : V.I. Istratescu
  • Publisher : Springer Science & Business Media
  • Release : 30 November 2001
GET THIS BOOK Fixed Point Theory

Approach your problems from the right It isn't that they can't see the solution. It end and begin with the answers. Then, is that they can't see the problem. one day, perhaps you will find the final G. K. Chesterton, The Scandal of Father question. Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. Van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly

New Trends in Analysis and Geometry

New Trends in Analysis and Geometry
  • Author : Ali Hussain Alkhaldi,Mohammed Kbiri Alaoui,Mohamed Amine Khamsi
  • Publisher : Cambridge Scholars Publishing
  • Release : 24 January 2020
GET THIS BOOK New Trends in Analysis and Geometry

This unique mathematical volume brings together geometers, analysts, differential equations specialists and graph-theorists to provide a glimpse on recent mathematical trends whose commonalities have hitherto remained, for the most part, unnoticed. The applied mathematician will be pleasantly surprised with the interpretation of a voting system in terms of the fixed points of a mapping given in the book, as much as the classical analyst will be enthusiastic to find detailed discussions on the generalization of the notion of metric space,

Handbook of Metric Fixed Point Theory

Handbook of Metric Fixed Point Theory
  • Author : William Kirk,Brailey Sims
  • Publisher : Springer Science & Business Media
  • Release : 30 June 2001
GET THIS BOOK Handbook of Metric Fixed Point Theory

Preface. 1. Contraction Mappings and Extensions; W.A. Kirk. 2. Examples of Fixed Point Free Mappings; B. Sims. 3. Classical Theory of Nonexpansive Mappings; K. Goebel, W.A. Kirk. 4. Geometrical Background of Metric Fixed Point Theory; S. Prus. 5. Some Moduli and Constants Related to Metric Fixed Point Theory; E.L. Fuster. 6. Ultra-Methods in Metric Fixed Point Theory; M.A. Khamsi, B. Sims. 7. Stability of the Fixed Point Property for Nonexpansive Mappings; J. Garcia-Falset, A. Jiménez-Melado, E. Llorens-Fuster. 8. Metric Fixed Point Results Concerning

Advances in Real and Complex Analysis with Applications

Advances in Real and Complex Analysis with Applications
  • Author : Michael Ruzhansky,Yeol Je Cho,Praveen Agarwal,Iván Area
  • Publisher : Birkhäuser
  • Release : 03 October 2017
GET THIS BOOK Advances in Real and Complex Analysis with Applications

This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan’s mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian

Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications

Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications
  • Author : Afif Ben Amar,Donal O'Regan
  • Publisher : Springer
  • Release : 04 May 2016
GET THIS BOOK Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications

This is a monograph covering topological fixed point theory for several classes of single and multivalued maps. The authors begin by presenting basic notions in locally convex topological vector spaces. Special attention is then devoted to weak compactness, in particular to the theorems of Eberlein–Šmulian, Grothendick and Dunford–Pettis. Leray–Schauder alternatives and eigenvalue problems for decomposable single-valued nonlinear weakly compact operators in Dunford–Pettis spaces are considered, in addition to some variants of Schauder, Krasnoselskii, Sadovskii, and Leray–

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 BOOK Fixed 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’

Fixed Point Theory and Related Topics

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

Fixed Points
  • Author : I͡Uriĭ Alekseevich Shashkin
  • Publisher : American Mathematical Soc.
  • Release : 25 September 2021
GET THIS BOOK Fixed Points

The theory of fixed points finds its roots in the work of Poincare, Brouwer, and Sperner and makes extensive use of such topological notions as continuity, compactness, homotopy, and the degree of a mapping. Fixed point theorems have numerous applications in mathematics; most of the theorems ensuring the existence of solutions for differential, integral, operator, or other equations can be reduced to fixed point theorems. In addition, these theorems are used in such areas as mathematical economics and game theory.

Advanced Fixed Point Theory for Economics

Advanced Fixed Point Theory for Economics
  • Author : Andrew McLennan
  • Publisher : Springer
  • Release : 03 July 2018
GET THIS BOOK Advanced Fixed Point Theory for Economics

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