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[null,"1.","Record Nr.",null,"UNINA9910300260403321"]
[null,null,"Autore",null,"Khan Akhtar A"]
[null,null,"Titolo",null,"Set-valued Optimization : An Introduction with Applications / / by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015"]
[null,null,"ISBN",null,"3-642-54265-4"]
[null,null,"Edizione",null,"[1st ed. 2015.]"]
[null,null,"Descrizione fisica",null,"1 online resource (781 p.)"]
[null,null,"Collana",null,"Vector Optimization, , 1867-8971"]
[null,null,"Disciplina",null,"510"]
[{"$nulls":4},"519"]
[{"$nulls":4},"519.6"]
[{"$nulls":4},"658.40301"]
[null,null,"Soggetti",null,"Mathematical optimization"]
[{"$nulls":4},"Operations research"]
[{"$nulls":4},"Decision making"]
[{"$nulls":4},"Management science"]
[{"$nulls":4},"Game theory"]
[{"$nulls":4},"Optimization"]
[{"$nulls":4},"Operations Research/Decision Theory"]
[{"$nulls":4},"Continuous Optimization"]
[{"$nulls":4},"Operations Research, Management Science"]
[{"$nulls":4},"Game Theory, Economics, Social and Behav. Sciences"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"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 "]
[{"$nulls":4},"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."]