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

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.