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Fixed Point Theory in Ordered Sets and Applications

From Differential and Integral Equations to Game Theory

Fixed Point Theory in Ordered Sets and Applications by Siegfried Carl
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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.
Springer New York; November 2010
481 pages; ISBN 9781441975850
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Title: Fixed Point Theory in Ordered Sets and Applications
Author: Siegfried Carl; Seppo Heikkilä
 
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