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＜E-Book＞
Optimization on Metric and Normed Spaces / by Alexander J. Zaslavski
(Springer Optimization and Its Applications. ISSN:19316836 ; 44)

Edition	1st ed. 2010.
Publisher	(New York, NY : Springer New York : Imprint: Springer)
Year	2010
Language	English
Size	XIV, 434 p : online resource
Authors	*Zaslavski, Alexander J author SpringerLink (Online service)
Subjects	LCSH:Mathematical models LCSH:Numerical analysis LCSH:Functional analysis LCSH:Operations research LCSH:Management science LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Mathematical Modeling and Industrial Mathematics FREE:Numerical Analysis FREE:Functional Analysis FREE:Operations Research, Management Science FREE:Calculus of Variations and Optimization
Notes	Exact 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 "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 HTTP:URL=https://doi.org/10.1007/978-0-387-88621-3

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