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001 978-3-540-78562-0
003 DE-He213
005 20161121231215.0
007 cr nn 008mamaa
008 100301s2008 gw | s |||| 0|eng d
020 _a9783540785620
_9978-3-540-78562-0
024 7 _a10.1007/978-3-540-78562-0
_2doi
050 4 _aQA402.5-402.6
072 7 _aPBU
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519.6
_223
100 1 _aMishra, Shashi Kant.
_eauthor.
245 1 0 _aInvexity and Optimization
_h[electronic resource] /
_cby Shashi Kant Mishra, Giorgio Giorgi.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _aX, 266 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aNonconvex Optimization and Its Applications,
_x1571-568X ;
_v88
505 0 _aInvex Functions (The Smooth Case) -- ?-Pseudolinearity: Invexity and Generalized Monotonicity -- Extensions of Invexity to Nondifferentiable Functions -- Invexity in Nonlinear Programming -- Invex Functions in Multiobjective Programming -- Variational and Control Problems Involving Invexity -- Invexity for Some Special Functions and Problems.
520 _aInvexity and Optimization presents results on invex function and their properties in smooth and nonsmooth cases, pseudolinearity and eta-pseudolinearity. Results on optimality and duality for a nonlinear scalar programming problem are presented, second and higher order duality results are given for a nonlinear scalar programming problem, and saddle point results are also presented. Invexity in multiobjective programming problems and Kuhn-Tucker optimality conditions are given for a multiobjecive programming problem, Wolfe and Mond-Weir type dual models are given for a multiobjective programming problem and usual duality results are presented in presence of invex functions. Continuous-time multiobjective problems are also discussed. Quadratic and fractional programming problems are given for invex functions. Symmetric duality results are also given for scalar and vector cases.
650 0 _aMathematics.
650 0 _aOperations research.
650 0 _aDecision making.
650 0 _aMathematical optimization.
650 1 4 _aMathematics.
650 2 4 _aOptimization.
650 2 4 _aOperation Research/Decision Theory.
700 1 _aGiorgi, Giorgio.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540785613
830 0 _aNonconvex Optimization and Its Applications,
_x1571-568X ;
_v88
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-78562-0
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c510133
_d510133