Fixed point theory in ordered sets and applications
Subtitle: from differential and integral equations to game theory
By: Siegfried Carl, Seppo Heikkilä
Contributors: Heikkilä,Seppo
Publisher: Springer
Published: 2011
Place of publication: New York, NY
Language: eng
Number of pages: 477
ISBN-13: 9781441975843
Subjects: Mathematical Economics; Mathematics; Global analysis (Mathematics); Game theory
Description: 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.
Notes: Includes bibliographical references and index.