The existence and stability of solutions for symmetric generalized quasi-variational inclusion problems

Abstract

In this paper, we study the symmetric generalized quasi-variational inclusion problems. Then, we establish some existence theorems of solution sets for these problems. Moreover, the stability of solutions for these problems are also obtained. Finally, we apply these results to symmetric vector quasi-equilibrium problems.The results presented in this paper improve and extend the main results in the literature. Some examples are given to illustrate our results.