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＜電子ブック＞
Fixed Point Theory in Ordered Sets and Applications : From Differential and Integral Equations to Game Theory / by Siegfried Carl, Seppo Heikkilä

版	1st ed. 2011.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2011
大きさ	XIII, 477 p : online resource
著者標目	*Carl, Siegfried author Heikkilä, Seppo author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Game theory LCSH:Econometrics FREE:Analysis FREE:Game Theory FREE:Quantitative Economics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-1-4419-7585-0

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