全连续随机算子的边界不动点定理  

Some Boundary Fixed Point Theorem for Completely Continuous Random Operator

作　　者：张国娟[1] 刘颖范[2] 

机构地区：[1]南京工业大学理学院,江苏南京210009 [2]南京邮电大学数理学院,江苏南京210003

出　　处：《应用数学》2012年第4期760-763,共4页Mathematica Applicata

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.

关 键 词：随机算子 全连续 随机拓扑度 随机不动点 

分 类 号：O177.91[理学—数学]