本文研究了对称集值向量拟均衡问题解集的稳定性.证明了在约束映射满足一定连续性与目标映射是锥一恰当拟凸的集值映射条件下,对称集值向量拟均衡问题的解集是稳定的,还证明了每个对称集值向量拟均衡问题的解集至少存在一个本质连通区.
In this paper, we studied the stability of the set of solutions for symmetric set-valued vector quasi-equilibrium problems. When the constraints mappings satisfy some continuity conditions and the objective mappings are P-properly quasi-convex, we proved that the symmetric set-valued vector quasi-equilibrium problems have.stable solutions set and the solutions set for each symmetric set-valued vector quasi-equilibrium problems possesses at least one essential component.