广义向量拟平衡问题解集映射的稳定性

The Stability of Solution Set Maps to Generalized Vector Quasi-equilibrium Problems

我们在局部凸Hausdorff拓扑向量空间中,讨论了广义向量拟平衡问题解集映射的上半连续性以及闭性,并利用扰动间隙函数证明解集的Hausdorff下半连续性.

This paper deals with the semicontinuities and closedness of the solution set maps to generalized vector quasi-equilibrium problem in locally convex Hausdorff topological vector spaces. By using a perturbed gap function, the Hausdorff lower semicontinuity of the solution set maps are established.