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141103 ||| eng |
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|a 9783642542657
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| 100 |
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|a Khan, Akhtar A.
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| 245 |
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|a Set-valued Optimization
|h Elektronische Ressource
|b An Introduction with Applications
|c by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu
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| 250 |
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|a 1st ed. 2015
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2015, 2015
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| 300 |
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|a XXII, 765 p. 29 illus
|b online resource
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| 505 |
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|a 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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| 653 |
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|a Operations Research, Management Science
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| 653 |
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|a Operations research
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| 653 |
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|a Optimization
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| 653 |
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|a Management science
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| 653 |
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|a Continuous Optimization
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| 653 |
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|a Game Theory
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| 653 |
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|a Game theory
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| 653 |
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|a Mathematical optimization
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| 653 |
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|a Operations Research and Decision Theory
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| 700 |
1 |
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|a Tammer, Christiane
|e [author]
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| 700 |
1 |
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|a Zălinescu, Constantin
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a Vector Optimization
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| 028 |
5 |
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|a 10.1007/978-3-642-54265-7
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| 856 |
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|u https://doi.org/10.1007/978-3-642-54265-7?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 519.6
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| 520 |
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|a 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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