Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory
Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory By Siegfried Carl, Seppo Heikkilä (auth.)
2011 | 477 Pages | ISBN: 1441975845 | PDF | 3 MB
2011 | 477 Pages | ISBN: 1441975845 | PDF | 3 MB
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.