On Holder continuity of approximate solution maps to vector equilibrium problems

Abstract

In this article, we consider parametric vector equilibrium problems in normed spaces. Sufficient conditions for Holder continuity of approximate solution mappings where they are set-valued are established. As applications of these results, the Holder continuity of the approximate solution mappings for vector optimization problems and vector variational inequalities are derived at the end of the paper. Our results are new and include the existing ones in the literature.