Derivatives of the efficient point multifunction in parametric vector optimization problems
type: Item
instance of: scholarly article
title: Derivatives of the efficient point multifunction in parametric vector optimization problems
zbMATH Open document ID: 1282.90164
author: Thai Doan Chuong
published in: Journal of Optimization Theory and Applications
publication date: 2013-05-08T00:00:00Z
review text: The \(S\)-derivative is used to study the sensitivity analysis of parametric vector optimization problems. The author establishes formulae for inner and outer evaluating the \(S\)-derivative of the efficient point multifunction of a vector optimization problem. These estimating formulae are presented via the set of efficient/weakly efficient points of the \(S\)-derivative of the original multifunction, a composite multifunction of the objective function and the constraint mapping. Some examples are provided.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 6161560
zbMATH Keywords: parametric vector optimization
zbMATH Keywords: efficient point multifunction
zbMATH Keywords: \(S\)-derivative
zbMATH Keywords: semiinfinite optimization
zbMATH Keywords: sensitivity analysis
reviewed by: Francisco Guerra Vazquez
MaRDI profile type: Publication
full work available at URL: s10957-012-0099-1
OpenAlex ID: W1967435820
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DOI: 10.1007/S10957-012-0099-1
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description: scientific article; zbMATH DE number 6161560