Volume 55, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|Page(s)||S1037 - S1049|
|Published online||02 March 2021|
Necessary optimality conditions for a fractional multiobjective optimization problem
LAMA, Department of Mathematics, Dhar El Mehrez, Sidi Mohamed Ben Abdellah University, Fes, Morocco
* Corresponding author: firstname.lastname@example.org
Accepted: 2 May 2020
In this paper, we are concerned with a fractional multiobjective optimization problem (P). Using support functions together with a generalized Guignard constraint qualification, we give necessary optimality conditions in terms of convexificators and the Karush–Kuhn–Tucker multipliers. Several intermediate optimization problems have been introduced to help us in our investigation.
Mathematics Subject Classification: 90C32 / 90C46 / 90C29 / 90C30 / 49K99
Key words: Convexificators / fractional optimization / multiobjective optimization / weak local Pareto minimal points / necessary optimality conditions
© EDP Sciences, ROADEF, SMAI 2021
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