完备概率测度空间上连续随机算子的公共不动点定理  

Common fixed point theorems of continuous random operator on complete probabilistic measure space

作　　者：王学武[1] 

机构地区：[1]杭州师范学院数学系

出　　处：《杭州师范学院学报（自然科学版）》2004年第2期91-94,共4页Journal of Hangzhou Teachers College(Natural Science)

摘　　要：在Polish空间上讨论了以概率1的轨道压缩和广义压缩型连续(随机)算子的随机不动点问题,在一定条件下,改进和推广了文献[1]～[5]的许多重要结果.In this paper, we discuss the problems of random fixed points on Polish space, which set up the conditions of the orbital contraction, quasi-contraction continuous operator and probability-1. Under certain conditions, some main results of the paper(1)^(5)were extended.

关 键 词：完备概率测度空间 可分空间 轨道序列 公共不动点 轨道压缩不动点理论 随机算子 

分 类 号：O211.5[理学—概率论与数理统计]