LEADER 03514nam  22006975  450 
001 9910298510103321
005 20200920115302.0
010   $a3-319-08900-5
024 7 $a10.1007/978-3-319-08900-3
035   $a(CKB)3710000000228699
035   $a(EBL)1968500
035   $a(OCoLC)908089854
035   $a(SSID)ssj0001353715
035   $a(PQKBManifestationID)11854984
035   $a(PQKBTitleCode)TC0001353715
035   $a(PQKBWorkID)11316933
035   $a(PQKB)11337908
035   $a(DE-He213)978-3-319-08900-3
035   $a(MiAaPQ)EBC1968500
035   $a(PPN)181354217
035   $a(EXLCZ)993710000000228699
100   $a20140903d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aVector Optimization and Monotone Operators via Convex Duality $eRecent Advances /$fby Sorin-Mihai Grad
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (282 p.)
225 1 $aVector Optimization,$x1867-8971
300   $aDescription based upon print version of record.
311   $a3-319-08899-8 
320   $aIncludes bibliographical references and index.
327   $aIntroduction 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.
330   $aThis book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators.
410  0$aVector Optimization,$x1867-8971
606   $aOperations research
606   $aDecision making
606   $aMathematical optimization
606   $aOperations Research/Decision Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/521000
606   $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008
606   $aContinuous Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26030
615  0$aOperations research.
615  0$aDecision making.
615  0$aMathematical optimization.
615 14$aOperations Research/Decision Theory.
615 24$aOptimization.
615 24$aContinuous Optimization.
676   $a330
676   $a519.6
676   $a658.40301
700   $aGrad$b Sorin-Mihai$4aut$4http://id.loc.gov/vocabulary/relators/aut$01064032
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910298510103321
996   $aVector Optimization and Monotone Operators via Convex Duality$92535953
997   $aUNINA