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Duality in vector optimization PDF

408 Pages·2009·2.496 MB·English
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by Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka (auth.)| 2009| 408 pages| 2.496| English

About Duality in vector optimization

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.

Detailed Information

Author:Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka (auth.)
Publication Year:2009
ISBN:9783642028854
Pages:408
Language:English
File Size:2.496
Format:PDF
Price:FREE
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