本文建立了转移紧开覆盖的两个Ky Fan匹配定理。作为应用,研究了Fan-Browder重合定理和极大元定理,最后,建立了超凸空间中的定性对策和抽象经济的平衡存在定理。
Two Ky Fan matching theorems for transfer compactly open covers are established. As their application, a Fan-Browder type coincidence theorem and a maximal element theorem are obtained. Finally, the existence theorems of equilibrium for abstract economies and qualitative games in hyperconvex spaces are derived.