On generalization of optimality conditions for multiobjective semi-infinite problems

نویسندگان

1 Faculty of Science, Mahallat Institute of Higher Education, Mahallat, Iran

doi
10.22075/ijnaa.2024.32848.4887
چکیده

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.