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Polish空间中随机相容算子的公共随机不动点
引用本文:朱传喜,罗雷.Polish空间中随机相容算子的公共随机不动点[J].南昌大学学报(工科版),2011,33(1):86-89.
作者姓名:朱传喜  罗雷
作者单位:南昌大学数学系,江西南昌,330031
基金项目:国家自然科学基金资助项目,江西省自然科学基金资助项目
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。

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

Some Common Random Fixed Points for Random Compatible Mappings in Polish Spaces
ZHU Chuan-xi,LUO Lei.Some Common Random Fixed Points for Random Compatible Mappings in Polish Spaces[J].Journal of Nanchang University(Engineering & Technology Edition),2011,33(1):86-89.
Authors:ZHU Chuan-xi  LUO Lei
Affiliation:ZHU Chuan-xi,LUO Lei (Department of Mathematics,Nanchang University,Nanchang 330031,China)
Abstract: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.
Keywords:Polish spaces  random compatible  common random fixed point  random sequentially commutative  
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