Optimization on metric and normed spaces
type: Item
instance of: scholarly article
title: Optimization on metric and normed spaces
zbMATH Open document ID: 1225.90004
DOI: 10.1007/978-0-387-88621-3
published in: Springer Optimization and Its Applications
publication date: 2010-10-14T00:00:00Z
review text: Optimization is a basic tool in applied mathematics. The monograph is devoted to the study of continuous optimization problems on complete metric spaces and Banach spaces. A particular feature of the book is that it does not use compactness assumptions to guarantee the existence of solutions but looks at approximate solutions which always exist and uses the generic approach to show the generic existence of solutions for various classes of minimization problems. The book starts with a discussion of penalty methods in constrained optimization, in particular exact penalty. The stability of the exact penalty is studied and it is shown that exact penalty is stable under certain perturbations which is important from the computational point of view.
reviewed by: Martin Gugat
Mathematics Subject Classification ID: 90-02
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 46N10
Mathematics Subject Classification ID: 49K40
zbMATH DE Number: 5799966
zbMATH Keywords: optimization
zbMATH Keywords: generic existence results
zbMATH Keywords: exact penalty
zbMATH Keywords: stability
zbMATH Keywords: well-posedness
zbMATH Keywords: generic well-posedness
author: Alexander J. Zaslavski
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-0-387-88621-3
OpenAlex ID: W583107990
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description: scientific article; zbMATH DE number 5799966