Duality in Vector Optimization

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itle:Duality in Vector Optimization Author:Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka Publisher:Springer ISBN13: Date2009-08-18 Pages:400 Language:English Format: PDF Size:7.1 MB

Description: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.

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关键词：Optimization duality Vector ATION Optim regarding problems general respect setting

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