LEADER 04704nam 22008055 450 001 9910300260403321 005 20200702154439.0 010 $a3-642-54265-4 024 7 $a10.1007/978-3-642-54265-7 035 $a(CKB)3710000000262153 035 $a(EBL)1968316 035 $a(OCoLC)894915420 035 $a(SSID)ssj0001372229 035 $a(PQKBManifestationID)11802163 035 $a(PQKBTitleCode)TC0001372229 035 $a(PQKBWorkID)11302387 035 $a(PQKB)10868873 035 $a(DE-He213)978-3-642-54265-7 035 $a(MiAaPQ)EBC1968316 035 $z(PPN)258857935 035 $a(PPN)182099997 035 $a(EXLCZ)993710000000262153 100 $a20141020d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSet-valued Optimization $eAn Introduction with Applications /$fby Akhtar A. Khan, Christiane Tammer, Constantin Z?linescu 205 $a1st ed. 2015. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2015. 215 $a1 online resource (781 p.) 225 1 $aVector Optimization,$x1867-8971 300 $aDescription based upon print version of record. 311 $a3-642-54264-6 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- 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. 330 $aSet-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality, and applications in economics among other things. 410 0$aVector Optimization,$x1867-8971 606 $aMathematical optimization 606 $aOperations research 606 $aDecision making 606 $aManagement science 606 $aGame theory 606 $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008 606 $aOperations Research/Decision Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/521000 606 $aContinuous Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26030 606 $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024 606 $aGame Theory, Economics, Social and Behav. Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13011 615 0$aMathematical optimization. 615 0$aOperations research. 615 0$aDecision making. 615 0$aManagement science. 615 0$aGame theory. 615 14$aOptimization. 615 24$aOperations Research/Decision Theory. 615 24$aContinuous Optimization. 615 24$aOperations Research, Management Science. 615 24$aGame Theory, Economics, Social and Behav. Sciences. 676 $a510 676 $a519 676 $a519.6 676 $a658.40301 700 $aKhan$b Akhtar A$4aut$4http://id.loc.gov/vocabulary/relators/aut$0768286 702 $aTammer$b Christiane$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aZ?linescu$b Constantin$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300260403321 996 $aSet-valued Optimization$92521526 997 $aUNINA