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

  • * Corresponding author: Fatima Zahra Rahou

    * Corresponding author: Fatima Zahra Rahou
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  • 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.


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