THE (S)+-CONDITION FOR VECTOR EQUILIBRIUM PROBLEMS
Yungyen Chiang · Taiwanese Journal of Mathematics · 2006
In this paper, we generalize the (S)+-condition to bifunctions with values in an oredered Hausdorff topological vector space Z, and define a weak (S)+-condition for the bifunctions. These conditions extend naturally to operators from nonempty subsets of a topological vector space X into the set L(X, Z) of all continuous linear mappings from X into Z. Then we derive some existence results for vector equilibrium problems and vector variational inequalities associated with bifunctions or operators satisfying the weak (S)+- condition.