Existence of solutions of systems of generalized implicit vector quasi-equilibrium problems in [formula omitted]-convex spaces

Abstract

In this paper, we consider systems of generalized vector quasi-equilibrium problems in G -convex spaces. By applying two maximal element theorems for a family of multivalued mappings on product G -convex spaces, we establish some existence results for solutions of these problems under generalized pseudomonotonicities and under lower semicontinuity for a family of multivalued mappings.