TY  - BOOK
AU  - Carl,Siegfried
AU  - Heikkilä,Seppo
ED  - SpringerLink (Online service)
TI  - Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory 
SN  - 9781441975850
AV  - QA299.6-433 
U1  - 515 23
PY  - 2011///
CY  - New York, NY
PB  - Springer New York
KW  - Mathematics
KW  - Global analysis (Mathematics)
KW  - Economics, Mathematical
KW  - Analysis
KW  - Game Theory, Economics, Social and Behav. Sciences
KW  - Game Theory/Mathematical Methods
N1  - 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
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-7585-0
ER  -