Sufficient optimality conditions and Mond-Weir duality results for a fractional multiobjective optimization problem

Nazih Abderrazzak Gadhi; Fatima Zahra Rahou

doi:10.3934/jimo.2021216

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2023, Volume 19, Issue 2: 1001-1014. Doi: 10.3934/jimo.2021216

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Sufficient optimality conditions and Mond-Weir duality results for a fractional multiobjective optimization problem

Nazih Abderrazzak Gadhi^1, and
Fatima Zahra Rahou^2, ,

1.
LAMA, FSDM, Sidi Mohamed Ben Abdellah University, Fez, Morocco
2.
FSDM, Sidi Mohamed Ben Abdellah University, Fez, Morocco

^* Corresponding author: Fatima Zahra Rahou
^* Corresponding author: Fatima Zahra Rahou

Received: November 30, 2020

Revised: August 31, 2021

Early access: December 2021

Published: February 2023

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Abstract

In this work, we are concerned with a fractional multiobjective optimization problem $ (P) $ involving set-valued maps. Based on necessary optimality conditions given by Gadhi et al. [14], using support functions, we derive sufficient optimality conditions for $ \left( P\right) , $ and we establish various duality results by associating the given problem with its Mond-Weir dual problem $ \left( D\right) . $ The main tools we exploit are convexificators and generalized convexities. Examples that illustrates our findings are also given.

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Mathematics Subject Classification: Primary: 90C29, 90C30, 90C32.

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References

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