（Φ，Δ）型概率收缩与Menger　PN－空间中非线性算子方程的解

(Φ,Δ)-Type Probabilistic Contractor and Solutions for a Nonlinear operator Equations in Menger PN-Spaces

本文在Ｍｅｎｓｅｒ概率赋范空间中引入了（Φ，Δ）型概率收缩的概念，研究了Ｍｅｎｇｅｒ概率赋范空间中具有这类概率收缩的非线性算子方程的解的存在性与唯一性．发展和改进了引文［１］、［４～８］的相应结果．

The purpose of this paper is to introduce the concept of (Φ,Δ)-type probabi listic contractor in Menger PN-spaces and to study the existence and uniqueness of solutions for the nonlinear operator equations with the probabilistic contractor in Menger PN-spaces. The results presented in this paper improve and extend the corresponding results in [1] and [4-8].