On the existence and essential components of solution sets for systems of generalized quasi-variational relation problems
Nguyễn Văn Hùng, Phan Thanh Kieu · Journal of Inequalities and Applications · 2014
In this paper, we study the existence of a solution for a system of quasi-variational relation problems (in short, (SQVR)). Moreover, we discuss the existence of essentially connected components of the solution set for (SQVR). Then the obtained results are applied to systems of quasi-variational inclusions and to systems of weak vector quasi-equilibrium problems. The results presented in the paper improve and extend many results from the literature. Some examples are given to illustrate our results. MSC: 47J20, 49J40.