一类具有Lipschitz条件的非线性算子的迭代过程

Iterative process for certain nonlinear operators with Lipschitz condition

在Banach空间中 ,研究了带有误差项的Ishikawa迭代序列的收敛问题 ,去掉了通常文献中关于空间E的一致光滑或q—一致光滑的严格要求。改进和推广了近期文献 [1- 6 ]中的相关结果。

In this paper,the author study the problem for the Ishikawa iterative sequence with errors in the general Banach space,removes the strict condign of the space being uniformly smooth as usual.The presented improve and extend the correspondings resuits of [1-6].