Mann and Ishikawa iterations with errors for non-Lipschitzian mappings in Banach spaces
Mann and Ishikawa iterations with errors for non-Lipschitzian mappings in Banach spaces
复制标题
DOI：
10.1016/s0898-1221(01)00262-0
复制
发表时间：
2001-12
影响因子：
2.9
通讯作者：
G. Kim;Tae Hwa Kim
中科院分区：
文献类型：
--
作者：
G. Kim;Tae Hwa Kim
设C是一致凸Banach空间的非空闭凸子集，设T: C→C在中间意义上是完全连续渐近非扩张的。本文证明了带有误差的Ishikawa （and Mann）迭代过程强收敛于T的不动点，推广了Huang[1]的最新结果。
Let C be a nonempty closed convex subset of a uniformly convex Banach space and let T : C → C be completely continuous asymptotically nonexpansive in the intermediate sense. In this paper, we prove that the Ishikawa (and Mann) iteration process with errors converges strongly to some fixed point of T, which generalizes the recent results due to Huang [1].