Optimality results for a specific fractional problem

Nazih Abderrazzak Gadhi; Khadija Hamdaoui

doi:10.3934/jimo.2020157

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2022, Volume 18, Issue 1: 367-373. Doi: 10.3934/jimo.2020157

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Optimality results for a specific fractional problem

Nazih Abderrazzak Gadhi^1, and
Khadija Hamdaoui^1, ,

1.
LAMA, FSDM, Sidi Mohamed Ben Abdellah University, Fez, Morocco

^* Corresponding author: Khadija Hamdaoui
^* Corresponding author: Khadija Hamdaoui

Received: June 30, 2019

Revised: June 30, 2020

Early access: November 2020

Published: January 2022

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Abstract

In this paper, one minimizes a fractional function over a compact set. Using an exact separation theorem, one gives necessary optimality conditions for strict optimal solutions in terms of Fréchet subdifferentials. All data are assumed locally Lipschitz.

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Mathematics Subject Classification: Primary: 90C32, 90C46; Secondary: 49K99.

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References

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