Optimization on Metric and Normed Spaces

Author:   Alexander J. Zaslavski
Publisher:   Springer-Verlag New York Inc.
Edition:   2010 ed.
Volume:   44
ISBN:  

9781461426400


Pages:   434
Publication Date:   13 October 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Optimization on Metric and Normed Spaces


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Overview

""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.

Full Product Details

Author:   Alexander J. Zaslavski
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2010 ed.
Volume:   44
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.682kg
ISBN:  

9781461426400


ISBN 10:   1461426405
Pages:   434
Publication Date:   13 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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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