on nonsmooth multiobjective semi-infinite programming problems with mixed constraints

We consider the multiobjective semi-infinite programming problems with feasible sets defined by equality and inequality constraints, in which the objective and the constraints functions are locally lipschitz. first, we introduce an arrow-hurwitcz-uzawa type constraint qualification which is based on the clarke subdifferential. then, we derive the strong karush-kuhn-tucker type necessary optimality condition for properly efficient solutions of the considered problems.