Relationships between Optimization of V-invex Function and Vector Variational-like Inequalities

In this paper, we will establish the relationships between vector variational-like inequality and optimization problems under V-Invexity. We will be able to identify the vector critical points, the weakly efficient points and the solutions of the weak vector variational-like inequality problem, under conditions of V-pseudo invexity. These conditions are more general than those existing in the literature.