Descuento:
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128,44 €1. Introduction
2. Fundamental Order-Theoretic Principles
3. Multi-Valued Variational Inequalities
4. Discontinuous Multi-Valued Elliptic Problems
5. Discontinuous Multi-Valued Evolutionary Problems
6. Banach-Valued Ordinary Differential Equations
7. Banach-Valued Integral Equations
8. Game Theory
9. Appendix
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.
Features
• Presents a comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets along with its various interactions with topological structures
• Considers a wide range of mathematical theories and methods when dealing with applications
• Includes numerous illustrations
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