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03170nam a22005655i 4500 |
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978-0-387-88621-3 |
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DE-He213 |
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20151204154319.0 |
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cr nn 008mamaa |
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100805s2010 xxu| s |||| 0|eng d |
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|a 9780387886213
|9 978-0-387-88621-3
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|a 10.1007/978-0-387-88621-3
|2 doi
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|d GrThAP
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|a TA342-343
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|a TEC009060
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|a 003.3
|2 23
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|a Zaslavski, Alexander J.
|e author.
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|a Optimization on Metric and Normed Spaces
|h [electronic resource] /
|c by Alexander J. Zaslavski.
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|a New York, NY :
|b Springer New York,
|c 2010.
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|a XIV, 434 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Springer Optimization and Its Applications,
|x 1931-6828 ;
|v 44
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|a 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.
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|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.
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650 |
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|a Mathematics.
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|a Functional analysis.
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|a Numerical analysis.
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|a Mathematical models.
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650 |
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|a Calculus of variations.
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650 |
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|a Operations research.
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|a Management science.
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|a Mathematics.
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|a Mathematical Modeling and Industrial Mathematics.
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650 |
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|a Numerical Analysis.
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650 |
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|a Functional Analysis.
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650 |
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|a Operations Research, Management Science.
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650 |
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|a Calculus of Variations and Optimal Control; Optimization.
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710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9780387886206
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830 |
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|a Springer Optimization and Its Applications,
|x 1931-6828 ;
|v 44
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856 |
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|u http://dx.doi.org/10.1007/978-0-387-88621-3
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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