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Duality in Vector Optimization

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This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes.

Author(s): Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka
Publisher: Springer
Year: 2009

Language: English
Pages: 400
Tags: Operations Research, Mathematical Programming; Operations Research/Decision Theory; Discrete Mathematics in Computer Science

Front Matter....Pages 1-14
Introduction....Pages 1-7
Preliminaries on convex analysis and vector optimization....Pages 9-61
Conjugate duality in scalar optimization....Pages 63-121
Conjugate vector duality via scalarization....Pages 123-180
Conjugate duality for vector optimization problems with finite dimensional image spaces....Pages 181-247
Wolfe and Mond-Weir duality concepts....Pages 249-309
Duality for set-valued optimization problems based on vector conjugacy....Pages 311-383
Back Matter....Pages 1-15