T-可控分布函数与Menger空间(S,F,τ_T)

T-Controllable Distribution Functions and Fixed Points of Contraction Maps on the Menger Spaces(S,F,τ_T)

首次引入了 T-可控分布函数的概念 ,指出 T-可控分布函数集与 Menger空间 ( S,F,τT)上压缩映射不动点的存在性之间有着密切的联系 。

We introduce the conception of Tcontrollable distribution functions for the first time showing the set of T controllable distribdtion functions in clos relationship with the existence of fixed points of conrtaction maps on the menger spaces(S,F,τT),therefore, suppling a new method for the study of the contration properties of the spaces.