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 (Author),Seppo Heikkilä(Author)
Publisher: Springer
Edition: 2011th
Publication Date: 2010/12/1
Language: English
Print Length: 490 pages
ISBN-10: 1441975845
ISBN-13: 9781441975843
Book 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. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. 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 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.
About the Author
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. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. 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 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. Read more