Fixed point theory in ordered sets and application
General Material Designation
[Book]
Other Title Information
:from differential and integral equations to game theory
First Statement of Responsibility
/ Siegfried Carl, Seppo Heikkilea
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York
Name of Publisher, Distributor, etc.
: Springer,
Date of Publication, Distribution, etc.
, c2011.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xiii, 477 p.)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Print
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
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, pur.
Text of Note
Fixed Point Theory in Ordered Sets and Applications; Preface; Contents; 1 Introduction; 2 Fundamental Order-Theoretic Principles; 3 Multi-Valued Variational Inequalities; 4 Discontinuous Multi-Valued Elliptic Problems; 5 Discontinuous Multi-Valued Evolutionary Problems; 6 Banach-Valued Ordinary Differential Equations; 7 Banach-Valued Integral Equations; 8 Game Theory; 9 Appendix; List of Symbols; References; Index.