摘要
本文利用随机拓扑度理论研究全连续随机算子的不动点问题,得到若干仅依赖于边界条件的随机不动点定理.作为特例,也给出了相应的确定性算子的边界不动点定理.
In this paper the fixed point theorem for completely continuous random opera- tor using random topological degree theorem. As a result, some random fixed point theorem relying only on boundary conditions was developed. As special cases, some theorem according to the certain operators was also established.
出处
《应用数学》
CSCD
北大核心
2012年第4期760-763,共4页
Mathematica Applicata
关键词
随机算子
全连续
随机拓扑度
随机不动点
Random operator
Completely continuous
Random topological degree
Random fixed point
