LEADER 03197nam 22005055 450 001 9910300103203321 005 20200703074341.0 010 $a981-13-1981-2 024 7 $a10.1007/978-981-13-1981-5 035 $a(CKB)4100000006674802 035 $a(MiAaPQ)EBC5528879 035 $a(DE-He213)978-981-13-1981-5 035 $a(PPN)230539645 035 $a(EXLCZ)994100000006674802 100 $a20180927d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeneralized Preinvexity and Second Order Duality in Multiobjective Programming /$fby Xinmin Yang 205 $a1st ed. 2018. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2018. 215 $a1 online resource (171 pages) 225 1 $aSpringer Optimization and Its Applications,$x1931-6828 ;$v142 311 $a981-13-1980-4 327 $aPreinvex Functions -- Semistrictly Preinvex Functions -- Semipreinvex Functions -- Prequasiinvex Functions -- Generalized Invexity and Generalized Invariant Monotonicity -- Multiobjective Wolfe Type Second-Order Symmetric Duality -- Multiobjective Mond-Weir Type Second Order Symmetric Duality -- Multiobjective Second Order Duality with Cone Constraints. 330 $aThis book introduces readers to several new generalized preinvex functions and generalized invariant monotone functions. It begins by describing the main properties of these functions and various relations. Several examples are then presented to illustrate various interesting relationships among preinvex functions and the properly inclusive relations among the generalized invariant monotonicities. In addition, several second order and higher order symmetric duality models are provided for multi-objective nonlinear programming problems. Lastly, weak and strong duality theorems under generalized convexity assumptions are provided. The book offers a well-synthesized, accessible, and usable treatment for students, researchers and practitioners in the areas of OR, optimization, applied mathematics and engineering, and all those working on a wide range of related problems, which include financial institutions, logistics, transportation, traffic management, etc. 410 0$aSpringer Optimization and Its Applications,$x1931-6828 ;$v142 606 $aOperations research 606 $aManagement science 606 $aFunctions of real variables 606 $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 615 0$aOperations research. 615 0$aManagement science. 615 0$aFunctions of real variables. 615 14$aOperations Research, Management Science. 615 24$aReal Functions. 676 $a515.782 700 $aYang$b Xinmin$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767979 906 $aBOOK 912 $a9910300103203321 996 $aGeneralized Preinvexity and Second Order Duality in Multiobjective Programming$91563886 997 $aUNINA