摘要
设E是具一致Gǎteaux可微范数的实Banach空间,D是E的一个凸子集.对于序列{kn}[0,∞)的渐近非扩张映象T,赵良才和张石生在一定条件下给出并证明了关于T的具误差的Ishikawa迭代序列收敛于T的不动点.证明了这一结论对于一般的渐近非扩张映象也是成立的.
Let E be a real Banach space with a uniformly Gfteaux differentiable norm, D be a nonempty closed convex subset of E. For the asymptotically nonexpansive mapping T with sequence, under a certain condition, Zhao and Zhang proved that the Ishikawa iteration sequence of T with errors converges strongly to the fixed point of T. It was proved that this result is also true for the general asymptotically nonexpansive mapping.
