000 02862nam a22004695i 4500
001 978-1-4614-1897-9
003 DE-He213
005 20140220083244.0
007 cr nn 008mamaa
008 111117s2012 xxu| s |||| 0|eng d
020 _a9781461418979
_9978-1-4614-1897-9
024 7 _a10.1007/978-1-4614-1897-9
_2doi
050 4 _aQA402.5-402.6
072 7 _aPBU
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519.6
_223
100 1 _aShikhman, Vladimir.
_eauthor.
245 1 0 _aTopological Aspects of Nonsmooth Optimization
_h[electronic resource] /
_cby Vladimir Shikhman.
264 1 _aNew York, NY :
_bSpringer New York,
_c2012.
300 _aXII, 196 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v64
505 0 _aPreface. -Notation -- Introduction --  Mathematical Programming Problems with Complementarity -- Constraints --  General Semi-infinite Programming Problems -- Mathematical Programming Problems with Vanishing Constraints -- Bilevel Optimization --  Impacts on Nonsmooth Analysis -- Appendix -- Bibliography -- References -- Index.
520 _aThis book deals with nonsmooth structures arising within the optimization setting. It considers four optimization problems, namely, mathematical programs with complementarity constraints, general semi-infinite programming problems, mathematical programs with vanishing constraints and bilevel optimization. The author uses the topological approach and topological invariants of corresponding feasible sets are investigated. Moreover, the critical point theory in the sense of Morse is presented and parametric and stability issues are considered. The material progresses systematically and establishes a comprehensive theory for a rather broad class of optimization problems tailored to their particular type of nonsmoothness.   Topological Aspects of Nonsmooth Optimization will benefit researchers and graduate students in applied mathematics, especially those working in optimization theory, nonsmooth analysis, algebraic topology and singularity theory.
650 0 _aMathematics.
650 0 _aFunctional analysis.
650 0 _aMathematical optimization.
650 1 4 _aMathematics.
650 2 4 _aOptimization.
650 2 4 _aContinuous Optimization.
650 2 4 _aFunctional Analysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461418962
830 0 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v64
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-1897-9
912 _aZDB-2-SMA
999 _c101154
_d101154