OPTIMALITY CONDITIONS IN TERMS OF DIRECTIONAL DERIVATIVES

Pham Trung Kien; Do Van Luu

Pham Trung Kien
Do Van Luu

Keywords: Directionalderivative,alternativetheorem, optimality condition, duality.

Abstract

In this paper, we develop necessary and suﬃcient conditions for optimality in terms of directional derivatives for a local minimum of a singleobjective minimization problem and a local weak minimum of a multiobjective problem. Weak and strong duality theorems for multiobjective programs are also given