Fixed Point Theory in Ordered Sets and Applications

Lieferzeit: Lieferbar innerhalb 14 Tagen

106,99 

From Differential and Integral Equations to Game Theory

ISBN: 1489981780
ISBN 13: 9781489981783
Autor: Carl, Siegfried/Heikkilä, Seppo
Verlag: Springer Verlag GmbH
Umfang: xiii, 477 S.
Erscheinungsdatum: 28.11.2014
Auflage: 1/2014
Produktform: Kartoniert
Einband: Kartoniert

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.

Artikelnummer: 7805786 Kategorie:

Beschreibung

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.

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E-Mail: juergen.hartmann@springer.com

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