Approximate optimality conditions for approximate efficiency in semi-infinite multiobjective fractional programming problem

Mohamed Bilal Moustaid; Issam Dali

doi:10.2478/candc-2024-0019

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Approximate optimality conditions for approximate efficiency in semi-infinite multiobjective fractional programming problem

Control and Cybernetics

Volume 53 (2024): Issue 3 (September 2024)

By: Mohamed Bilal Moustaid and Issam Dali

Open Access

|May 2025

Abstract

In this paper, we obtain approximate necessary and sufficient optimality conditions, characterizing an approximately efficient solution of a semi-infinite multiobjective fractional problem under the closedness qualification condition. As a consequence, we derive approximate necessary and sufficient optimality conditions characterizing an approximately efficient solution for a constrained multiobjective fractional programming problem. Furthermore, we present examples illustrating our main results.

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Articles in this issue

DOI: https://doi.org/10.2478/candc-2024-0019 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569

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Language: English

Page range: 429 - 455

Submitted on: Apr 1, 2024

Accepted on: Dec 1, 2024

Published on: May 15, 2025

Published by: Systems Research Institute Polish Academy of Sciences

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

fractional semi-infinite multiobjective optimization,

multiobjective fractional programming problem,

max-function approach,

approximate efficient solution,

approximate optimality conditions

Related subjects:

Computer sciences,

Computer sciences, other,

Engineering,

Electrical engineering,

Fundamentals of electrical engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Mathematics,

General mathematics

© 2025 Mohamed Bilal Moustaid, Issam Dali, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 53 (2024): Issue 3 (September 2024)