关于N.A.MengerPN-空间中概率收缩偶与非线性方程组的解的注记

A Note on Probabilistic Contractor Couple and Solutions for a System of Nonlinear Equations in N.A.Menger PN-Spaces

引进了 (Φ ,Δ)_型概率收缩偶的概念 ,它简化并减弱了张石生给出的概率收缩偶的定义· 在N .A .MengerPN_空间中研究了具有这类概率收缩偶的非线性算子方程组的解的存在性与唯一性问题· 改进并推广了 M .Altman ,A .C .Lee ,W .J.Padgett,张石生等人的相应结果·

The concept of (Ф,Δ)_type probabilistic contractor couple was introduced which simplifies and weakens the definition of probabilistic contractor couple given by Zhang Shisheng. The existence and uniqueness of the solutions for a system of nonlinear operator equations with this kind of propabilistic contractor couple in N.A.Menger PN_spaces were studied. The works improve and extend the corrosponding results by M.Altman, A.C.Lee,W.J.Padgett et al.