一致伪压缩映射的不动点具随机误差Mann迭代过程的稳定性

摘要

Let X be a real Banach space and T：X→ X be a uniformly pseudocontractive mapping. Under certain conditions,we demonstrated that Mann iterative process with random errors converges strongly to the fixed point of T and almost stable relative to T. And related results are obtained that deals with the Mann iterative process with random errors converges strongly solution of nonlinear equations of uniformly accretive mapping and almost stable.%假设X是一实Banach空间，T：T→X是一致伪压缩映射，在一定的条件下，证明了具随机误差的Mann迭代过程强收敛T的不动点，并且相对于T是几乎稳定的．同时得到相关结果，具随机误差的Mann迭代过程强收敛于一致增生映射的非线性方程的解，并且是几乎稳定的．