摘要
在任意实的Banach空间中研究了用具误差的修正的Ishikawa与Mann迭代程序来逼近一致L-Lipschitz的渐近伪压缩映象不动点的强收敛性问题,在去掉条件之下,证明了相关文献的结果仍然成立.所得结果不但改进和推广了最近一些人的最新结果,而且也从根本上改进了定理的证明方法.
The purpose of this paper is to investigate the strong convergence of the modified Ishikawa and Mann iterative processes with errors for approximating fixed points of uniformly L-Lipschitz and asymptotically pseudocontractive mappings in an arbitrary real Banach space.By removing the restriction ∞∑n=0α^n〈∞,∞∑n=0αn（βn＋δn）〈∞,∞∑n=0αn（κn-1）〈∞ it is proven that the relevant results remain true.The results presented in this paper improve and extend some recent existing results.
出处
《系统科学与数学》
CSCD
北大核心
2010年第9期1206-1213,共8页
Journal of Systems Science and Mathematical Sciences
基金
云南省自然科学基金(2006A0089M)资助项目
