中文摘要：

建立了全新的集合族空间,讨论了公共元的通有稳定性,得到了闭集族空间上的交运算在Hausdorff拓扑下的上半连续性,并研究了KKM点和Nash平衡点的通有稳定性。

英文摘要：

In this paper,a family-of-set space is established.And its common elements’generic stability is studied.The upper semi-continuity of operation of sets’intersection in family-of-closed-set space is obtained.And generic stability of KKM point and Nash equilibrium is studied.