摘要
设K是任意实Banach空间X的闭凸子集，且T：K→K是Lipschitz严格伪压缩映象，在没有假设∑n^∞=0αnβn〈∞之下．本文证明了带误差的Ishikawa迭代序列强收敛到T的唯一不动点。另外，还给出了Ishikawa迭代序列的收敛率估计。所得结果统一，改进和发展了最新的一些结果。
Let K be a closed convex subset of an arbitrary, real Banach space X,and T：. K→K be a Lipschitz strongly pseudocontractive mapping such that Tx^＊ = x^＊ for some x^＊∈X. Under the lack of assumption that ∑n^∞=0αnβn〈∞ , it is shown that the Ishikawa iterative sequence with errors converges strongly to the unique fixed point of T. Moreover, this result provides a general convergence rate estimation for such a sequence. These results unify, improve and generalize the recent corresponding results.
出处
《重庆师范大学学报（自然科学版）》
CAS
2006年第3期16-19,共4页
Journal of Chongqing Normal University:Natural Science
基金
重庆市科委科研课题基金(No.8409)
