000			03444nam a22005175i 4500
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005			20151013141919.0
007			cr nn 008mamaa
008			141020s2015 gw | s |||| 0|eng d
020			_a9783642542657 _9978-3-642-54265-7
024	7		_a10.1007/978-3-642-54265-7 _2doi
050		4	_aQA402.5-402.6
072		7	_aPBU _2bicssc
072		7	_aMAT003000 _2bisacsh
082	0	4	_a519.6 _223
100	1		_aKhan, Akhtar A. _eauthor.
245	1	0	_aSet-valued Optimization _h[electronic resource] : _bAn Introduction with Applications / _cby Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2015.
300			_aXXII, 765 p. 29 illus. _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 -- Order Relations and Ordering Cones -- Continuity and Differentiability -- Tangent Cones and Tangent Sets -- Nonconvex Separation Theorems -- Hahn-Banach Type Theorems -- Hahn-Banach Type Theorems -- Conjugates and Subdifferentials -- Duality -- Existence Results for Minimal Points -- Ekeland Variational Principle -- Derivatives and Epiderivatives of Set-valued Maps -- Optimality Conditions in Set-valued Optimization -- Sensitivity Analysis in Set-valued Optimization and Vector Variational Inequalities -- Numerical Methods for Solving Set-valued Optimization Problems -- Applications.
520			_aSet-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality, and applications in economics among other things.
650		0	_aMathematics.
650		0	_aMathematical optimization.
650		0	_aOperations research.
650	1	4	_aMathematics.
650	2	4	_aOptimization.
650	2	4	_aOperation Research/Decision Theory.
650	2	4	_aContinuous Optimization.
650	2	4	_aOperations Research, Management Science.
650	2	4	_aGame Theory, Economics, Social and Behav. Sciences.
700	1		_aTammer, Christiane. _eauthor.
700	1		_aZălinescu, Constantin. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642542640
830		0	_aVector Optimization, _x1867-8971
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-54265-7
912			_aZDB-2-SBE
942			_2ddc _cEBOOK
999			_c3299 _d3299