Sufficient Optimality Conditions and Mond- Weir Duality for Quasidifferentiable Optimization Problems with Univex Functions

In the paper, a nonconvex quasidifferentiable optimization problem with the inequality constraints is considered. The concept of a univex function with respect to a convex compact set is introduced. Further, the sufficient optimality conditions and several duality results in the sense of Mond-Weir are established for the considered quasidifferentiable optimization problem under assumption that the functions constituting it are univex with respect to convex compact sets which are equal to Minkowski sum of their subdifferentials and superdifferentials.