Set-valued Optimization: An Introduction with Applications (Vector Optimization)

Khan, Akhtar A. A.; Tammer, Christiane; Z?linescu, Constantin

ISBN 10: 3662510367 / ISBN 13: 9783662510360

Published by Springer, 2016

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Bibliographic Details

• Title: Set-valued Optimization: An Introduction with Applications (Vector Optimization)
• Publisher: Springer
• Publication Date: 2016
• Language: English
• ISBN 10: 3662510367
• ISBN 13: 9783662510360
• Binding: Soft cover
• Condition: New

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Synopsis

Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality and applications in economicsamong other things.