The (S)+1 Condition for Generalized Vector Variational Inequalities.

In this paper, we extend the (S)1+ condition to multivalued mappings in an ordered Hausdorif topological vector space and we derive some existence results for generalized vector variational inequalities associated with multivalued mappings satisfying the (S) 1+ condition. We generalize also an existence result of Cubiotti and Yao for generalized variational inequalities of class (S) 1+ to barreled normed spaces. As consequences, some existence results for vector variational inequalities are established. [ABSTRACT FROM AUTHOR]