Necessary optimality conditions for a bilevel multiobjective problem in terms of approximations

In this work, we are concerned with a bilevel multiobjective optimization problem. To get the Karush-Kuhn-Tucker-type necessary optimality condition, with the help of the generalized Motzkin's Theorem, we introduced an appropriate generalized constraint qualification. Our findings are based on...

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Bibliographic Details
Published inOptimization Vol. 74; no. 6; pp. 1273 - 1289
Main Authors Gadhi, Nazih Abderrazzak, Ohda, Mohamed
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 26.04.2025
Taylor & Francis LLC
Subjects
Approximation
Approximations
bilevel optimization
constraint qualification
Differential calculus
mean-value conditions
multiobjective optimization
Multiple objective analysis
Optimization
Online AccessGet full text
ISSN0233-1934
1029-4945
DOI10.1080/02331934.2023.2295471

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Summary:In this work, we are concerned with a bilevel multiobjective optimization problem. To get the Karush-Kuhn-Tucker-type necessary optimality condition, with the help of the generalized Motzkin's Theorem, we introduced an appropriate generalized constraint qualification. Our findings are based on a mean-value theorem in terms of approximations for continuous functions. Examples that illustrate our results are also given.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2023.2295471