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Set-Valued Optimization: An Introduction with Applications

Set-Valued Optimization: An Introduction with Applications

Paperback

Series: Vector Optimization

Business GeneralGeneral Mathematics

ISBN10: 3662510367
ISBN13: 9783662510360
Publisher: Springer
Published: Sep 22 2016
Pages: 765
Weight: 2.39
Height: 1.57 Width: 6.14 Depth: 9.21
Language: English
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.

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Khan, Akhtar A.

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General Mathematics