Derived sets in multiobjective optimization
type: Item
instance of: scholarly article
title: Derived sets in multiobjective optimization
zbMATH Open document ID: 0821.90094
DOI: 10.4171/ZAA/481
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1994-12-18T00:00:00Z
review text: This research work is devoted to a generalization of derived sets used by M. R. Hestenes and J. W. Nieuwenhuis in optimization problems with real- valued objective functions and a finite number of constraints to finite- dimensional multiobjective optimization problems. It contains interesting results on derived convex cones and a multiplier rule for the local solutions of weak multiobjective optimization problems considered here. Many practical necessary optimality conditions can be obtained with the help of the considerations given in this paper.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 49K27
zbMATH DE Number: 704310
zbMATH Keywords: generalization of derived sets
zbMATH Keywords: finite-dimensional multiobjective optimization
zbMATH Keywords: derived convex cones
zbMATH Keywords: multiplier rule
zbMATH Keywords: necessary optimality conditions
author: Wolfgang W. Breckner
reviewed by: Vasile Postolică
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 704310