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

Fixed Point Theory in Ordered Sets and Applications

From Differential and Integral Equations to Game Theory

By: Siegfried Carl, Seppo Heikkilä

eText | 17 November 2010

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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. 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.""

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Non-FictionMathematicsAlgebraOptimisationGame TheoryCalculus & Mathematical AnalysisEconomicsEconomic Theory & PhilosophyEconometrics

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