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008 140903s2015 gw | s |||| 0|eng d
020 _a9783319089003
_9978-3-319-08900-3
024 7 _a10.1007/978-3-319-08900-3
_2doi
050 4 _aHD30.23
072 7 _aKJT
_2bicssc
072 7 _aKJMD
_2bicssc
072 7 _aBUS049000
_2bisacsh
082 0 4 _a658.40301
_223
100 1 _aGrad, Sorin-Mihai.
_eauthor.
245 1 0 _aVector Optimization and Monotone Operators via Convex Duality
_h[electronic resource] :
_bRecent Advances /
_cby Sorin-Mihai Grad.
260 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXVII, 269 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aVector Optimization,
_x1867-8971
505 0 _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.
520 _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.
650 0 _aEconomics.
650 0 _aMathematical optimization.
650 0 _aOperations research.
650 1 4 _aEconomics/Management Science.
650 2 4 _aOperation Research/Decision Theory.
650 2 4 _aOptimization.
650 2 4 _aContinuous Optimization.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319088990
830 0 _aVector Optimization,
_x1867-8971
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-08900-3
912 _aZDB-2-SBE
942 _2ddc
_cEBOOK
999 _c3088
_d3088