乘积空间中不动点定理的一个注记

Remarks on the fixed point theorem in the product space

目的 用较为简便的方法证明AliaFora的不动点定理,并用此方法研究乘积空间中映射对的不动点定理。方法 点集拓扑中的基本方法。结果 证明了乘积空间的一个不动点定理。结论用此方法导出乘积空间中两个自映射存在公共不动点的一个充分条件。

AimA very simple method was used to reprove a fixed point theorem by Alia Fora.Then with this same kind of method,the fixed point theorem in product space was studied.MethodsElementary topology.ResultsA fixed point theorem in product space was proved.ConclusionAnother proof of the fixed point theorem by Alia Fora was given with a simple method.Then a sufficient condition was derived that two self-mapping in product space have the same fixed point.