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.
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DOI : 10.1051/ro/2020049
Keywords: Convexificators, fractional optimization, multiobjective optimization, weak local Pareto minimal points, necessary optimality conditions
@article{RO_2021__55_S1_S1037_0,
author = {Gadhi, Nazih Abderrazzak and Hamdaoui, Khadija and El Idrissi, Mohammed and Rahou, Fatima Zahra},
title = {Necessary optimality conditions for a fractional multiobjective optimization problem},
journal = {RAIRO. Operations Research},
pages = {S1037--S1049},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
doi = {10.1051/ro/2020049},
mrnumber = {4223101},
zbl = {1478.90117},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2020049/}
}
TY - JOUR AU - Gadhi, Nazih Abderrazzak AU - Hamdaoui, Khadija AU - El Idrissi, Mohammed AU - Rahou, Fatima Zahra TI - Necessary optimality conditions for a fractional multiobjective optimization problem JO - RAIRO. Operations Research PY - 2021 SP - S1037 EP - S1049 VL - 55 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2020049/ DO - 10.1051/ro/2020049 LA - en ID - RO_2021__55_S1_S1037_0 ER -
%0 Journal Article %A Gadhi, Nazih Abderrazzak %A Hamdaoui, Khadija %A El Idrissi, Mohammed %A Rahou, Fatima Zahra %T Necessary optimality conditions for a fractional multiobjective optimization problem %J RAIRO. Operations Research %D 2021 %P S1037-S1049 %V 55 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2020049/ %R 10.1051/ro/2020049 %G en %F RO_2021__55_S1_S1037_0
Gadhi, Nazih Abderrazzak; Hamdaoui, Khadija; El Idrissi, Mohammed; Rahou, Fatima Zahra. Necessary optimality conditions for a fractional multiobjective optimization problem. RAIRO. Operations Research, Tome 55 (2021), pp. S1037-S1049. doi: 10.1051/ro/2020049
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