Akhtar A Khan

(Author)

Set-Valued Optimization: An Introduction with Applications (2015)Hardcover - 2015, 28 October 2014

Set-Valued Optimization: An Introduction with Applications (2015)
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Part of Series
Vector Optimization
Print Length
765 pages
Language
English
Publisher
Springer
Date Published
28 Oct 2014
ISBN-10
3642542646
ISBN-13
9783642542640

Description

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 economics among other things.

Product Details

Authors:
Akhtar A KhanChristiane TammerConstantin Zălinescu
Book Edition:
2015
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
28 October 2014
Dimensions:
23.39 x 15.6 x 4.14 cm
ISBN-10:
3642542646
ISBN-13:
9783642542640
Language:
English
Location:
Berlin, Heidelberg
Pages:
765
Publisher:
Weight:
1270.06 gm

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