Connectedness of approximate weak efficient sets for the set-vector equilibrium problem

摘要

In this paper, a scalarization result of approximate weak efficient solution for a set-vector equilibrium problem (SVEP) is given. With this scalarization result, the connectedness of ε-weak efficient sets for the SVEP is proved under some suitable conditions in real Hausdorff topological vector spaces. The main results presented in this paper improve and generalize some known results in the literature [6,7,10].