Set-valued optimization [electronic resource] : an introduction with applications / Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu.
Khan, Akhtar A., author.; Tammer, Christiane, author.; Zălinescu, Constantin, author.
2015
QA1
Available Online

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Title Set-valued optimization [electronic resource] : an introduction with applications / Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu.
Author Khan, Akhtar A., author.
ISBN 9783642542657 electronic book
3642542654 electronic book
9783642542640
DOI https://doi.org/10.1007/978-3-642-54265-7
Published Berlin : Springer, [2015]
Language English
Description 1 online resource (xxii, 765 pages) : illustrations.
Item Number 10.1007/978-3-642-54265-7 doi
Call Number QA1
Dewey Decimal Classification 519.3
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (viewed November 10, 2014).
Added Author Tammer, Christiane, author.
Zălinescu, Constantin, author.
Series Vector optimization.
Available in Other Form Print version: 9783642542640
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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.

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