03514nam 22006975 450 991029851010332120200920115302.03-319-08900-510.1007/978-3-319-08900-3(CKB)3710000000228699(EBL)1968500(OCoLC)908089854(SSID)ssj0001353715(PQKBManifestationID)11854984(PQKBTitleCode)TC0001353715(PQKBWorkID)11316933(PQKB)11337908(DE-He213)978-3-319-08900-3(MiAaPQ)EBC1968500(PPN)181354217(EXLCZ)99371000000022869920140903d2015 u| 0engur|n|---|||||txtccrVector Optimization and Monotone Operators via Convex Duality Recent Advances /by Sorin-Mihai Grad1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (282 p.)Vector Optimization,1867-8971Description based upon print version of record.3-319-08899-8 Includes bibliographical references and index.Introduction and preliminaries -- Duality for scalar optimization problems -- Minimality concepts for sets -- Vector duality via scalarization for vector optimization problems -- General Wolfe and Mond-Weir duality -- Vector duality for linear and semidefinite vector optimization problems -- Monotone operators approached via convex Analysis.This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators.Vector Optimization,1867-8971Operations researchDecision makingMathematical optimizationOperations Research/Decision Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/521000Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26008Continuous Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26030Operations research.Decision making.Mathematical optimization.Operations Research/Decision Theory.Optimization.Continuous Optimization.330519.6658.40301Grad Sorin-Mihaiauthttp://id.loc.gov/vocabulary/relators/aut1064032MiAaPQMiAaPQMiAaPQBOOK9910298510103321Vector Optimization and Monotone Operators via Convex Duality2535953UNINA