from differential and integral equations to game theory
Edición de la obra Fixed point theory in ordered sets and applications
| Autor | S. Carl |
|---|---|
| Editorial | Springer |
| Fecha de publicación | 2011 |
| Lugar | New York, NY |
| Idioma | inglés |
| Páginas | 477 |
| ISBN-13 | 9781441975843 |
| ISBN-10 | 1441975845 |
| OCLC | 707644893 |
| LCCN | 2011282663 |
| Número de Cutter |
C278fThis 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.