Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory

Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory

by Siegfried Carl, Seppo Heikkilä

Paperback(2011)

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Overview

Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory by Siegfried Carl, Seppo Heikkilä

This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. In the treatment of the applications a wide range of mathematical theories and methods from nonlinear analysis and integration theory are applied; an outline of which has been given an appendix chapter to make the book self-contained.
Graduate students and researchers in nonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful.

Product Details

ISBN-13: 9781489981783
Publisher: Springer New York
Publication date: 11/28/2014
Edition description: 2011
Pages: 477
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

About the Author

Both authors are leaders in the field.

Table of Contents

Preface.- Introduction.- Fundamental Order-Theoretic Principles.- Multi-Valued Variational Inequalities.- Discontinuous Multi-Valued Elliptic Problems.- Discontinutous Multi-Valued Evolutionary Problems.- Banach-Valued Ordinary Differential Equations.- Banach-Valued Integral Equations.- Game Theory.- Appendix.- List of Symbols.- References.- Index

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