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Book synopsis

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.

Book details

Book category Books in English Economics, finance, business & management Business & management Operational research

• Full title: Duality in Vector Optimization
• Author: Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka
• Language: English
• Binding: Hardback
• Number of pages: 400
• EAN: 9783642028854
• ISBN: 3642028853
• ID: 01650081
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 1680 g
• Dimensions: 235 × 155 × 24 mm
• Date of publishing: 18. August 2009

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