Stable extensions of constrained optimization problems
type: Item
instance of: scholarly article
title: Stable extensions of constrained optimization problems
zbMATH Open document ID: 0683.49007
DOI: 10.1016/0022-247X(89)90210-2
author: Tomáş Roubíçek
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: Using ``language'' and methods of proximity spaces [see, e.g., \textit{S. A. Naimpally} and \textit{B. D. Warrack}, Proximity spaces (1970; Zbl 0206.246)] a parameter-dependent optimization problem with inequality constraints is extended in such a way, that under conditions (which are weaker than those of known theorems, corresponding to this topic) marginal functions (e.g. the optimal value function) are in a well- defined sense continuous. The classical marginal functions do not have such stability properties. The above mentioned extension is in some sense a most general one. The results are supported by earlier papers of the author [Kybernetika 22, 289-298 (1986; Zbl 0626.49013); SIAM J. Control Optimization 24, 951- 960 (1986; Zbl 0603.90137)].
reviewed by: Alfred Göpfert
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 49J27
zbMATH DE Number: 4119067
zbMATH Keywords: proximity spaces
zbMATH Keywords: parameter-dependent optimization problem
zbMATH Keywords: inequality constraints
zbMATH Keywords: marginal functions
zbMATH Keywords: stability
MaRDI profile type: Publication
cites work: Q3782303
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cites work: Q3856453
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full work available at URL: 0022-247x(89)90210-2
OpenAlex ID: W2172123145
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description: scientific article; zbMATH DE number 4119067