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＜電子ブック＞
Duality in Vector Optimization / by Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka
(Vector Optimization. ISSN:1867898X)

版	1st ed. 2009.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	XVI, 400 p : online resource
著者標目	*Bot, Radu Ioan author Grad, Sorin-Mihai author Wanka, Gert author SpringerLink (Online service)
件　名	LCSH:Mathematical models LCSH:Operations research LCSH:Management science LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Discrete mathematics FREE:Mathematical Modeling and Industrial Mathematics FREE:Operations Research, Management Science FREE:Operations Research and Decision Theory FREE:Discrete Mathematics in Computer Science
一般注記	Preliminaries on convex analysis and vector optimization -- Conjugate duality in scalar optimization -- Conjugate vector duality via scalarization -- Conjugate duality for vector optimization problems with finite dimensional image spaces -- Wolfe and Mond-Weir duality concepts -- Duality for set-valued optimization problems based on vector conjugacy This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones a chapter on scalar conjugate duality follows. Then investigations on vector duality based on scalar conjugacy are made. Weak, strong and converse duality statements are delivered and connections to classical results from the literature are emphasized. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes. The monograph is closed with extensive considerations concerning conjugate duality for set-valued optimization problems HTTP:URL=https://doi.org/10.1007/978-3-642-02886-1

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