随机单调减算子的随机不动点定理

Random Fixed Point Theorems of Random Monotone Decreasing Operator

利用锥理论和非对称迭代法,讨论了随机单调减算子的随机不动点的存在唯一性,同时给出了迭代序列收敛于解的误差估计,改进和推广了某些已知结果.

By using the cone theory and non-symmetry iteration method,it is studied the existence and uniqueness of random fixed point of random decreasing operator equations,and the iteration sequences which converge to solution of operator equations and the error estimates are also given. The results presented here improve and generalize some corresponding results.