Optimization on Metric and Normed Spaces

Optimization on Metric and Normed Spaces

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qOptimization on Metric and Normed Spacesq 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.The monograph is devoted to the study of optimization problems on complete metric spaces and Banach spaces. It contains a number of recent results obtained by the author in the last ten years. It is a well-known fact that so- lutions exist foranbsp;...

Title:Optimization on Metric and Normed Spaces
Author:Alexander Zaslavski
Publisher:Springer Science & Business Media - 2010-08-05


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