Fixed Point Theory in Ordered Sets and Applications From Differential and Integral Equations to Game Theory
Başlık:
Fixed Point Theory in Ordered Sets and Applications From Differential and Integral Equations to Game Theory
ISBN:
9781441975850
Personal Author:
Edition:
1st ed. 2011.
Yayın Bilgileri:
New York, NY : Springer New York : Imprint: Springer, 2011.
Fiziksel Tanımlama:
XIII, 477 p. online resource.
Contents:
Preface -- Introduction -- Fundamental Order-Theoretic Principles -- Multi-Valued Variational Inequalities -- Discontinuous Multi-Valued Elliptic Problems -- Discontinutous Multi-Valued Evolutionary Problems -- Banach-Valued Ordinary Differential Equations -- Banach-Valued Integral Equations -- Game Theory -- Appendix -- List of Symbols -- References -- Index.
Abstract:
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.
Added Author:
Ek Kurum Yazarı:
Dil:
English