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Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff topological vector spacesKeywords: vector equilibrium problem , scalarization method , ε-weak efficient solution , ε-efficient solution , connectedness Abstract: In this paper, a scalarization result of ε-weak efficient solution for a vector equilibrium problem (VEP) is given. Using this scalarization result, the connectedness of ε-weak efficient and ε-efficient solutions sets for the VEPs are 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.
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