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＜電子ブック＞
Leray–Schauder Type Alternatives, Complementarity Problems and Variational Inequalities / by George Isac
(Nonconvex Optimization and Its Applications ; 87)

版	1st ed. 2006.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	XIV, 338 p : online resource
著者標目	*Isac, George author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Functional analysis LCSH:Mathematics LCSH:Game theory FREE:Optimization FREE:Functional Analysis FREE:Applications of Mathematics FREE:Game Theory
一般注記	Preliminary Notions -- Complementarity Problems and Variational Inequalities -- Leray-Schauder Alternatives -- The Origin of the Notion of Exceptional Family of Elements -- Leray-Schauder Type Alternatives. Existence Theorems -- Infinitesimal Exceptional Family of Elements -- More about the Notion of Exceptional Family of Elements -- Exceptional Family of Elements and Variational Inequalities Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics and also has many applications in optimization, economics and engineering. The study of variational inequalities is another domain of applied mathematics with many applications to the study of certain problems with unilateral conditions. This book is the first to discuss complementarity theory and variational inequalities using Leray–Schauder type alternatives. The ideas and method presented in this book may be considered as a starting point for new developments. Audience This book is intended for researchers and advanced graduate students in optimization, applied nonlinear analysis, complementarity theory, the theory of variational inequalities, and operations research HTTP:URL=https://doi.org/10.1007/0-387-32900-5

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