Second-order optimality conditions in multiobjective optimization problems
type: Item
instance of: scholarly article
title: Second-order optimality conditions in multiobjective optimization problems
zbMATH Open document ID: 1039.90062
DOI: 10.1023/A:1021834210437
published in: Journal of Optimization Theory and Applications
publication date: 1999-01-01T00:00:00Z
review text: The authors develop second-order necessary and sufficient optimality conditions for multiobjective optimization problems with both equality and inequality constraints. First, the authors generalize the Lin fundamental theorem to second-order tangent sets; then, based on the above generalized theorem, the authors derive second-order necessary and sufficient conditions for efficiency.
reviewed by: Paulo Mbunga
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 1347768
zbMATH Keywords: efficient solutions
zbMATH Keywords: constraint qualifications
zbMATH Keywords: second-order tangent sets
zbMATH Keywords: Lin fundamental theorem
author: Brahim Aghezzaf
author: Mohamed Hachimi
MaRDI profile type: Publication
cites work: Maximal vectors and multi-objective optimization
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cites work: Q3967376
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cites work: Q4942479
cites work: Second-order necessary and sufficient conditions in multiobjective programming∗
cites work: Second-order necessary conditions of the Kuhn-Tucker type under new constraint qualifications
cites work: Second-order and related extremality conditions in nonlinear programming
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description: scientific article; zbMATH DE number 1347768