On the Vector Variational-like Inequalities with Relaxed $\mu - \alpha$ Pseudomonotone Mappings

In this paper we introduce some new conditions of the solu- tions existence for variational-like inequalities with relaxed  ??  pseu- domonotone mappings in Banach spaces. The advantage of these new conditions is that they are easier to be veried than those that appear in some of the previous corresponding articles.