随机单调增算子的随机不动点定理

Random Fixed Point Theorems of Random Monotone Increasing Operator

利用锥理论和非对称迭代法,讨论了随机单调增算子在非连续性条件和紧性条件下的随机不动点的存在性、惟一性,同时给出了迭代序列收敛于解的误差估计。

By using the cone theory and non-symmetry iteration method,it is studied the existence and uniqueness of random fixed point of random increasing operator equations which only satisfy some ordered condition while have no continuous condition and compact condition,and the iteration sequences which converge to solution of operator equations and the error estimates are also given.