We have considered a multiobjective semi-infinite programming problem with a feasible set defined by inequality constraints. First we studied a Fritz-John type necessary condition. Then, we introduced two constraint qualifications and derive the weak and strong Karush-Kuhn-Tucker (KKT in brief) types necessary conditions for an efficient solution of the considered problem. Finally an extension of a Caristi-Ferrara-Stefanescu result for the ()-invexity is proved, and some sufficient conditions are presented under this weak assumption. All results are given in terms of Clark subdifferential.
D. Barilla. G. Caristi. A. Puglisi. "Optimality Conditions for Nondifferentiable Multiobjective Semi-Infinite Programming Problems." Abstr. Appl. Anal. 2016 1 - 6, 2016. https://doi.org/10.1155/2016/5367190