随机反向混合单调算子的不动点定理  

Coupling Fixed Point Theorems of Random Anti-mixed Monotone Operators

作　　者：宋娜娜[1] 崔艳兰[1] 杨鹏[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2011年第3期15-18,共4页Journal of Yan'an University：Natural Science Edition

摘　　要：利用Mann迭代技巧和锥理论,讨论了随机反向混合单调算子的随机不动点存在唯一性,且讨论了非随机反向混合单调算子的情况,并给出了迭代序列收敛于解的误差估计式。所得结果推广了某些已知结论。By using the Mann iterative technique and the cone theory,the existence and uniqueness of random fixed point of random anti-mixed monotone operator were studied.The case if the random operator was not anti-mixed monotone was also discussed.And the iteration sequences which converge to solution of operator equations and the error estimates were also given.The results improved and generalized some known results.

关 键 词：MANN迭代 随机反向混合单调算子 随机不动点 

分 类 号：O177.91[理学—数学]