Sensitivity results for a general class of generalized vector quasi-equilibrium problems with set-valued maps

In this paper, we give sufficient conditions for the local openness/local closedness properties and the lower/upper semicontinuity properties of the solution sets of a general model which includes as special cases many generalized vector quasi-equilibrium problems with set-valued maps. The obtained results generalize and improve several known results. An application is also given for a model which can be interpreted as a system of generalized vector quasi-equilibrium problems.