Vector Variational Inequalities and the (S)+ Condition.

Let Z and X be Hausdorff real topological vector spaces and let Lb(X, Z) be the space of continuous linear mappings from X into Z equipped with the topology of bounded convergence. In this paper, we define the (S)+ condition for operators from a nonempty subset of X into Lb(X, Z) and derive some existence results for vector variational inequalities with operators of the class (S)+. Some applications to vector complementarity problems are given. [ABSTRACT FROM AUTHOR]