Optimization on Metric and Normed Spaces

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

9780387886206


Pages:   434
Publication Date:   17 August 2010
Format:   Hardback
Availability:   In Print   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: 2.50cm , Length: 23.50cm
Weight:   1.780kg
ISBN:  

9780387886206


ISBN 10:   0387886206
Pages:   434
Publication Date:   17 August 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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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