一类随机非单调二元算子的随机不动点定理  

Random fixed point theorems for a class of random non-monotone binary operator

作　　者：田素霞[1] 吕芳[2] 

机构地区：[1]商丘师范学院计算机科学系,河南商丘476000 [2]洛阳师范学院数学系,河南洛阳471022

出　　处：《海军工程大学学报》2008年第2期14-16,26,共4页Journal of Naval University of Engineering

基　　金：河南省自然科学基金资助项目(2004601018)

摘　　要：利用Mann迭代技巧,讨论了不具有紧性条件的随机非单调二元算子方程随机不动点的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果的本质改进和推广。The existence and uniqueness of random fixed point of random non-monotone binary operator equations without compactness conditions was studied by using the cone theory and Mann iterative technique, and the iteration sequences which converge to solution of operator equations and the error estimates were also given. The results improve and generalize some corresponding results which have already known.

关 键 词：MANN迭代 随机混合单调算子 随机不动点 正规锥 

分 类 号：O211.5[理学—概率论与数理统计]