Existence of solutions of systems of generalized implicit vector quasi-equilibrium problems in G-convex spaces

摘要

In this paper, we consider systems of generalized vector quasi-equilibrium problems in C-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.