Optimality Conditions for Approximate Pareto Minimality

In this paper, we apply, to the case of approximate minimizers for vector optimization problems with set-valued maps, some techniques developed previously in literature for the situation of standard vector efficiency. The approach we propose here allows us, on one hand, to extend some known results,...

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Bibliographic Details
Published in:Numerical functional analysis and optimization Vol. 41; no. 8; pp. 883 - 900
Main Author: Durea, Marius
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 10.06.2020
Taylor & Francis Ltd
Subjects:
approximate Pareto minimality
derivatives and coderivatives
Nonlinear programming
optimality conditions
Optimization
ISSN:0163-0563, 1532-2467
Online Access:Get full text
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Summary:In this paper, we apply, to the case of approximate minimizers for vector optimization problems with set-valued maps, some techniques developed previously in literature for the situation of standard vector efficiency. The approach we propose here allows us, on one hand, to extend some known results, and, on the other hand, to emphasize some numerical aspects that could be of certain importance for scientific computation of approximate minima.
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ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2019.1708391