000 02938nam a22005055i 4500
001 978-0-387-88621-3
003 DE-He213
005 20140220084456.0
007 cr nn 008mamaa
008 100805s2010 xxu| s |||| 0|eng d
020 _a9780387886213
_9978-0-387-88621-3
024 7 _a10.1007/978-0-387-88621-3
_2doi
050 4 _aQA402-402.37
050 4 _aT57.6-57.97
072 7 _aKJT
_2bicssc
072 7 _aKJM
_2bicssc
072 7 _aBUS049000
_2bisacsh
072 7 _aBUS042000
_2bisacsh
082 0 4 _a519.6
_223
100 1 _aZaslavski, Alexander J.
_eauthor.
245 1 0 _aOptimization on Metric and Normed Spaces
_h[electronic resource] /
_cby Alexander J. Zaslavski.
264 1 _aNew York, NY :
_bSpringer New York,
_c2010.
300 _aXIV, 434 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 ;
_v44
505 0 _aExact Penalty in Constrained Optimization -- Stability of the Exact Penalty -- Generic Well-Posedness of Minimization Problems -- Well-Posedness and Porosity -- Parametric Optimization -- Optimization with Increasing Objective Functions -- Generic Well-Posedness of Minimization Problems with Constraints -- Vector Optimization -- Infinite Horizon Problems.
520 _a"Optimization on Metric and Normed Spaces" is devoted to the recent progress in optimization on Banach spaces and complete metric spaces. Optimization problems are usually considered on metric spaces satisfying certain compactness assumptions which guarantee the existence of solutions and convergence of algorithms. This book considers spaces that do not satisfy such compactness assumptions. In order to overcome these difficulties, the book uses the Baire category approach and considers approximate solutions. Therefore, it presents a number of new results concerning penalty methods in constrained optimization, existence of solutions in parametric optimization, well-posedness of vector minimization problems, and many other results obtained in the last ten years. The book is intended for mathematicians interested in optimization and applied functional analysis.
650 0 _aMathematics.
650 0 _aFunctional analysis.
650 0 _aOperations research.
650 1 4 _aMathematics.
650 2 4 _aOperations Research, Mathematical Programming.
650 2 4 _aCalculus of Variations and Optimal Control, Optimization.
650 2 4 _aFunctional Analysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387886206
830 0 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v44
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-88621-3
912 _aZDB-2-SMA
999 _c109845
_d109845