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＜電子ブック＞
Asymptotic Cones and Functions in Optimization and Variational Inequalities / by Alfred Auslender, Marc Teboulle
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2003.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2003
本文言語	英語
大きさ	XII, 249 p : online resource
著者標目	*Auslender, Alfred author Teboulle, Marc author SpringerLink (Online service)
件　名	LCSH:Mathematical models LCSH:Mathematical analysis LCSH:Potential theory (Mathematics) LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Operations research LCSH:Management science FREE:Mathematical Modeling and Industrial Mathematics FREE:Analysis FREE:Potential Theory FREE:Calculus of Variations and Optimization FREE:Optimization FREE:Operations Research, Management Science
一般注記	Convex Analysis and Set-Valued Maps: A Review -- Asymptotic Cones and Functions -- Existence and Stability in Optimization Problems -- Minimizing and Stationary Sequences -- Duality in Optimization Problems -- Maximal Monotone Maps and Variational Inequalities Nonlinear applied analysis and in particular the related ?elds of continuous optimization and variational inequality problems have gone through major developments over the last three decades and have reached maturity. A pivotal role in these developments has been played by convex analysis, a rich area covering a broad range of problems in mathematical sciences and its applications. Separation of convex sets and the Legendre–Fenchel conjugate transforms are fundamental notions that have laid the ground for these fruitful developments. Two other fundamental notions that have contributed to making convex analysis a powerful analytical tool and that haveoftenbeenhiddeninthesedevelopmentsarethenotionsofasymptotic sets and functions. The purpose of this book is to provide a systematic and comprehensive account of asymptotic sets and functions, from which a broad and u- ful theory emerges in the areas of optimization and variational inequa- ties. There is a variety of motivations that led mathematicians to study questions revolving around attaintment of the in?mum in a minimization problem and its stability, duality and minmax theorems, convexi?cation of sets and functions, and maximal monotone maps. In all these topics we are faced with the central problem of handling unbounded situations HTTP:URL=https://doi.org/10.1007/b97594

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