摘要
给出并证明了MengerPN 空间中一类具有 (Φ ,Δ ) 型概率收缩的非线性集值算子方程解的存在性与唯一性定理 ,推广了某些已有的结果 .作为应用 ,本文获得到了两个新的不动点定理 .
In this paper, we give and prove the existence and uniqueness thereoms for a kind of set valued operator equations with( Φ,Δ ) type probabilistic contractor in Menger PN spaces, with which some given results are generalized. As application, two new fixed point theorems are obtained.
基金
江苏省教委自然科学基金资助课题!( 99KJB110 0 0 4)
关键词
概率收缩
集值算子方程
不动点定理
Menger PN spaces
( Φ,Δ ) type probabilistic contractor
set valued operator equations
fixed point
