Polish空间中随机相容算子的公共随机不动点  

Some Common Random Fixed Points for Random Compatible Mappings in Polish Spaces

作　　者：朱传喜[1] 罗雷[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（工科版）》2011年第1期86-89,共4页Journal of Nanchang University(Engineering & Technology)

基　　金：国家自然科学基金资助项目(10761007);江西省自然科学基金资助项目(2007GZS2051)

摘　　要：引入了随机相容算子、随机序列可交换等一些新的概念,并利用实值比较函数的性质,在Polish空间中研究了满足一定条件下的两个随机相容算子的公共随机不动点,并证明其唯一性,获得若干新的结果。Some new concepts such as random compatible operators,random sequentially commutative and so on were introduced in Polish spaces.Some common random fixed points for random compatible operators satisfying some conditions were investigated by virtue of some properties of real value comparison function,and the uniqueness were proved in Polish spaces.Meanwhile,some new results were obtained.

关 键 词：POLISH空间 随机相容 公共随机不动点 随机序列可交换 比较函数 

分 类 号：O211.5[理学—概率论与数理统计]