|
|
|
|
| LEADER |
02485nmm a2200325 u 4500 |
| 001 |
EB000362544 |
| 003 |
EBX01000000000000000215596 |
| 005 |
00000000000000.0 |
| 007 |
cr||||||||||||||||||||| |
| 008 |
130626 ||| eng |
| 020 |
|
|
|a 9781441975850
|
| 100 |
1 |
|
|a Carl, Siegfried
|
| 245 |
0 |
0 |
|a Fixed Point Theory in Ordered Sets and Applications
|h Elektronische Ressource
|b From Differential and Integral Equations to Game Theory
|c by Siegfried Carl, Seppo Heikkilä
|
| 250 |
|
|
|a 1st ed. 2011
|
| 260 |
|
|
|a New York, NY
|b Springer New York
|c 2011, 2011
|
| 300 |
|
|
|a XIII, 477 p
|b online resource
|
| 505 |
0 |
|
|a 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
|
| 653 |
|
|
|a Mathematical analysis
|
| 653 |
|
|
|a Game Theory
|
| 653 |
|
|
|a Game theory
|
| 653 |
|
|
|a Analysis
|
| 653 |
|
|
|a Quantitative Economics
|
| 653 |
|
|
|a Econometrics
|
| 700 |
1 |
|
|a Heikkilä, Seppo
|e [author]
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
|
|b Springer
|a Springer eBooks 2005-
|
| 028 |
5 |
0 |
|a 10.1007/978-1-4419-7585-0
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-1-4419-7585-0?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 515
|
| 520 |
|
|
|a 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
|