Sequential optimality conditions of approximate proper efficiency for a multiobjective fractional programming problem

In this paper, in the absence of any constraint qualifications, we develop sequential optimality conditions for a constrained multiobjective fractional programming problem characterizing an approximate properly efficient solution. This is achieved by employing a powerful combination of conjugate ana...

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Published in:SeMA journal 2023-12, Vol.80 (4), p.611-627
Main Authors: Moustaid, Mohamed Bilal, Laghdir, Mohamed, Dali, Issam
Format: Article
Language:English
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Applications of Mathematics
Constraints
Mathematical programming
Mathematics
Mathematics and Statistics
Multiple objective analysis
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description In this paper, in the absence of any constraint qualifications, we develop sequential optimality conditions for a constrained multiobjective fractional programming problem characterizing an approximate properly efficient solution. This is achieved by employing a powerful combination of conjugate analysis and the concept of approximate subdifferential. We give an example to present significance of sequential optimality conditions.
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subjects Applications of Mathematics
Constraints
Mathematical programming
Mathematics
Mathematics and Statistics
Multiple objective analysis
title Sequential optimality conditions of approximate proper efficiency for a multiobjective fractional programming problem
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