The Existence and Stability 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 onbtained. Finally, we apply these results to symmetric vector quasi-equilibrium problems.   The results presented in this paper are improve and  extend   the main results in the literature. Some examples are given to illustrate our results.