Polish空间上连续随机算子的公共不动点  

Common Fixed Points of Continuous Random Operators on Polish Space

作　　者：王学武[1] 

机构地区：[1]山东工商学院数学与信息科学学院,山东烟台264005

出　　处：《宁夏大学学报（自然科学版）》2005年第2期113-115,124,共4页Journal of Ningxia University(Natural Science Edition)

摘　　要：在Polish空间上,利用尺度函数建立了关于多连续随机算子的公共随机不动点定理,将第(89)、(93)和(94)类的Banach压缩映射的相应结果推广到完备概率测度空间上,改进、统一并发展了近年来的随机不动点的某些结果.In this paper, we set up some random fixed point theorems for many continuous random operators by contraction scale function on Polish space, extend some results for the (89)、(93)and (94) kinds of Banach contractive mappings to complete probability measure space, unite and develop some random fixed point principles in recent years.

关 键 词：完备概率测度空间 POLISH空间 连续随机算子 压缩尺度函数 随机不动点 

分 类 号：O177[理学—数学]