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

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