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Fixed point theory in ordered sets and applications : from differential and integral equations to game theory

Auteur :
Carl Siegfried
Heikkilä Seppo, auteur
Publication :
New York, NY : Springer New York : Springer e-books, 2011
Collection :
Mathematics and Statistics
Note :
Numerisation de l'édition de : New York : Springer Science+Business Media, LLC et Springer e-books, 2011
Bibliogr. p. 462-472 Index p. 473-475
Résumé :
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. It begins with a discussion of some simple examples of the order-theoretic fixed point results along with simple applications from each of the diverse fields. The fixed point theory is then developed and preliminary results on multi-valued variational inequalities regarding the topological and order-theoretical structure of solution sets are covered. This is followed by more advanced material which demonstrates the power of the developed fixed point theory. 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 in 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
Contenu :
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
URL :
Disponible en ligne
ISBN :
978-1-441-97585-0
Langue :
anglais
Type de document :
Ressource électronique
Thèmes :
Théorie des jeux
Opérateurs non linéaires
Équations différentielles
Global analysis (Mathematics)
Economics, Mathematical
Mathematics
Analysis
Game Theory, Economics, Social and Behav. Sciences
Game Theory/Mathematical Methods