两点概率收缩与PN空间的方程

Two Point Probability Contract and Equations in PN Space

本文在概率赋范空间(PN空间)中引入两点概率收缩的概念,将两点收缩概念概率化,从而得到了PN空间中几个非线性算子方程解的存在与唯一性定理,推广了某些作者的结果。

In this paper, the concept of two point probability contractor is introduced in PN space,it is probabitized for the concept of two point contractor,so some existence and uniqueness the orems for the solution of nonlinear operator equations in PN space are obtained,this results are generaliization of results of some authors.