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About Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory
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.
Detailed Information
| Author: | Siegfried Carl, Seppo Heikkilä (auth.) |
|---|---|
| Publication Year: | 2011 |
| Pages: | 492 |
| Language: | English |
| File Size: | 2.511 |
| Format: | |
| Price: | FREE |
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