摘要
假设X是一实Banach空间,T:X→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.
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.
出处
《昆明学院学报》
2011年第6期6-9,共4页
Journal of Kunming University
关键词
MANN迭代过程
随机误差
一致伪压缩映射
几乎稳定
一致增生映射
Mann iterative process
random errors
uniformly pseudocontractive mapping
almost stability
uniformly accretive mapping
