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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Vydáno v:Numerical functional analysis and optimization Ročník 41; číslo 8; s. 883 - 900
Hlavní autor: Durea, Marius
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Taylor & Francis 10.06.2020
Taylor & Francis Ltd
Témata:
approximate Pareto minimality
derivatives and coderivatives
Nonlinear programming
optimality conditions
Optimization
ISSN:0163-0563, 1532-2467
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2019.1708391