000 02367nam a22004455i 4500
001 978-3-642-17005-8
003 DE-He213
005 20140220083750.0
007 cr nn 008mamaa
008 101120s2011 gw | s |||| 0|eng d
020 _a9783642170058
_9978-3-642-17005-8
024 7 _a10.1007/978-3-642-17005-8
_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 _aJahn, Johannes.
_eauthor.
245 1 0 _aVector Optimization
_h[electronic resource] :
_bTheory, Applications, and Extensions /
_cby Johannes Jahn.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXV, 481p. 55 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
520 _aThis book presents fundamentals and important results of vector optimization in a general setting. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjective optimization are described. The theory is extended to set optimization with particular emphasis on contingent epiderivatives, subgradients and optimality conditions. Background material of convex analysis being necessary is concisely summarized at the beginning. This second edition contains new parts on the adaptive Eichfelder-Polak method, a concrete application to magnetic resonance systems in medical engineering and additional remarks on the contribution of F.Y. Edgeworth and V. Pareto. The bibliography is updated and includes more recent important publications.
650 0 _aEconomics.
650 0 _aMathematical optimization.
650 0 _aOperations research.
650 1 4 _aEconomics/Management Science.
650 2 4 _aOperations Research/Decision Theory.
650 2 4 _aOptimization.
650 2 4 _aOperations Research, Mathematical Programming.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642170041
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-17005-8
912 _aZDB-2-SBE
999 _c107218
_d107218