%0 Journal Article
%T Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff topological vector spaces
%A Chen Bin
%A Liu Qing-you
%A Liu Zhi-bin
%A Huang Nan-jing
%J Fixed Point Theory and Applications
%D 2011
%I Springer
%X In this paper, a scalarization result of ŠĆ-weak efficient solution for a vector equilibrium problem (VEP) is given. Using this scalarization result, the connectedness of ŠĆ-weak efficient and ŠĆ-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.
%K vector equilibrium problem
%K scalarization method
%K ŠĆ-weak efficient solution
%K ŠĆ-efficient solution
%K connectedness
%U http://www.fixedpointtheoryandapplications.com/content/2011/1/36