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Set-valued Optimization = An Introduction with Applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Set-valued Optimization/ by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu.
其他題名:	An Introduction with Applications /
作者:	Khan, Akhtar A.
其他作者:	Tammer, Christiane.
面頁冊數:	XXII, 765 p. 29 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical optimization. -
電子資源:	https://doi.org/10.1007/978-3-642-54265-7
ISBN:	9783642542657

Set-valued Optimization = An Introduction with Applications /
Khan, Akhtar A.

Set-valued OptimizationAn Introduction with Applications /[electronic resource] :by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu. - 1st ed. 2015. - XXII, 765 p. 29 illus.online resource. - Vector Optimization,1867-8971. - Vector Optimization,.

Introduction -- Order Relations and Ordering Cones -- Continuity and Differentiability -- Tangent Cones and Tangent Sets -- Nonconvex Separation Theorems -- Hahn-Banach Type Theorems -- Hahn-Banach Type Theorems -- Conjugates and Subdifferentials -- Duality -- Existence Results for Minimal Points -- Ekeland Variational Principle -- Derivatives and Epiderivatives of Set-valued Maps -- Optimality Conditions in Set-valued Optimization -- Sensitivity Analysis in Set-valued Optimization and Vector Variational Inequalities -- Numerical Methods for Solving Set-valued Optimization Problems -- Applications.

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.

ISBN: 9783642542657

Standard No.: 10.1007/978-3-642-54265-7doiSubjects--Topical Terms:

527675
Mathematical optimization.

LC Class. No.: QA402.5-402.6

Dewey Class. No.: 519.6

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