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Autore: |
Khan Akhtar A
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Titolo: |
Set-valued Optimization : An Introduction with Applications / / by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu
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Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015 |
Edizione: | 1st ed. 2015. |
Descrizione fisica: | 1 online resource (781 p.) |
Disciplina: | 510 |
519 | |
519.6 | |
658.40301 | |
Soggetto topico: | Mathematical optimization |
Operations research | |
Decision making | |
Management science | |
Game theory | |
Optimization | |
Operations Research/Decision Theory | |
Continuous Optimization | |
Operations Research, Management Science | |
Game Theory, Economics, Social and Behav. Sciences | |
Persona (resp. second.): | TammerChristiane |
ZălinescuConstantin | |
Note generali: | Description based upon print version of record. |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | 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. |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Set-valued Optimization ![]() |
ISBN: | 3-642-54265-4 |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910300260403321 |
Lo trovi qui: | Univ. Federico II |
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