Painlevé-Kuratowski convergences of the approximate solution sets for vector quasiequilibrium problems

In this paper, we study vector quasiequilibrium problems.After that, the Painlevé-Kuratowski upper convergence, lower convergence and convergence of the approximate solution sets for these problems are investigated by using a sequence of mappings -converging. As applications, we also consider the Painlevé-Kuratowski upper convergence of the approximate solution sets in the special cases of variational inequality problems of the Minty type and Stampacchia type. The results presented in this paper extend and improve some main results in the literature.