Article Contents
Article Contents

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

• * Corresponding author: Fatima Zahra Rahou
• 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.

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

 Citation:

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