On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints

Abstract

Abstract In this paper, we consider a nonsmooth multiobjective semi-infinite programming problem with vanishing constraints (MOSIPVC). We introduce stationary conditions for the MOSIPVCs and establish the strong Karush-Kuhn-Tucker type sufficient optimality conditions for the MOSIPVC under generalized convexity assumptions.

Keywords

• semi-infinite programming
• mathematical programs with vanishing constraints
• optimality conditions
• generalized convexity