Applying Convexificators in Nonsmooth Multiobjective Semi-infinite Fractional Interval-Valued Optimization

In this work, we explore a nonsmooth semi-infinite multiobjective fractional interval-valued optimization problem. Using an adequate constraint qualification, we establish necessary optimality conditions in terms of Karush–Kuhn–Tucker multipliers and upper semiregular convexificators. We do not assu...

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Veröffentlicht in:Journal of the Operations Research Society of China (Internet) Jg. 13; H. 1; S. 210 - 226
Hauptverfasser: Gadhi, Nazih Abderrazzak, Ichatouhane, Aissam
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Heidelberg Springer Nature B.V 01.03.2025
Schlagworte:
Convex analysis
Euclidean space
Fractional interests
Mathematical functions
Mathematical programming
Multiple objective analysis
Optimization
Theory of constraints
ISSN:2194-668X, 2194-6698
Online-Zugang:Volltext
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Zusammenfassung:In this work, we explore a nonsmooth semi-infinite multiobjective fractional interval-valued optimization problem. Using an adequate constraint qualification, we establish necessary optimality conditions in terms of Karush–Kuhn–Tucker multipliers and upper semiregular convexificators. We do not assume that the interval-valued objective function is smooth or that it is convex. There are examples highlighting both our results and the limits of certain past studies.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:2194-668X
2194-6698
DOI:10.1007/s40305-023-00513-0