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

Moustaid Mohamed Bilal, Dali Issam

Control and Cybernetics

2024

Vol. 53, No. 3

429--455

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.