具有非线性控制函数的概率收缩偶对

PROBABILITY CONTRACTORS COUPLE WITH NONLINEAR MAJORANT FINCTIONS

本文引进了具有非线性控制函数的概率收缩偶对概念，在ＭｅｎｇｅｒＰＮ空间中建立了非线性算子方程组解的存在与唯一性定理，推广了文［２］，［３］的主要结果．

In this paper, introducing the concept of probability Contractor Couple with nonlinear functions we cbtain a theorem about the existence and uniquess of sdutions of some nonlinear functional equations in Menger PN space and generalize the main results of references [2].[3]