On generalization of optimality conditions for multiobjective semi-infinite problems

In this paper, we study the multiobjective semi-infinite programming problem with inequality constraints, in which the objective and the constraint functions are not necessarily continuous. If Ω is a local cone approximation, we consider the notion of Ω-subdifferential for functions. Then, we present the Karush-Kuhn-Tucker type necessary and sufficient optimality conditions under an Abadie type qualification for the considered problems via Ω-subdifferential.

کلیدواژه ها:

semi-infinite problem ، multiobjective optimization ، optimality condition ، local cone approximation