研究一类对称向量拟均衡问题解集的稳定性。证明在约束映射满足一定连续性,以及目标映射是自然拟凸的demi-continuous映射条件下,由对称向量拟均衡问题的构成的空间M中,此类中大多数对称向量拟均衡问题的解集具有通有稳定性。
In this paper, we studied the stability of a set of solutions for one kind of symmetric vector quasi-equilibrium problems. In the space M, when the constraints mappings satisfy some continuity conditions, and the objective mappings are natural quasi-convex and demi-continuous, we proved that most of the this kind of symmetric vector quasi-equilibrium problems have stable solutions set.