Optimality Conditions for Nondifferentiable Multiobjective Semi-Infinite Programming Problems

Abstract EN

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 ( Φ , ρ )-invexity is proved, and some sufficient conditions are presented under this weak assumption.

All results are given in terms of Clark subdifferential.