Continuity of the Solution Mappings to Primal and Dual Vector Equilibrium Problems

In this paper, we consider strong forms of the primal and dual vector equilibrium problems in Hausdorff topological vector spaces. Under suitable assumptions, some continuity properties of solution mappings to such problems are established. The mains results improve recent existing ones in the literature. Some examples are provided to illustrate our results. Applications to vector optimization problems and vector variational inequalities are also discussed.