Carl / Heikkilä Fixed Point Theory in Ordered Sets and Applications

From Differential and Integral Equations to Game Theory
1. Auflage 2010
ISBN: 978-1-4419-7585-0
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 477 Seiten, Web PDF

Reihe: Mathematics and Statistics (R0)

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Carl, Siegfried

Heikkilä, Seppo

Inhaltsverzeichnis

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.