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实Banach空间中一致L-Lipschitzian 渐近半压缩映象具误差的迭代序列的收敛性
引用本文:倪仁兴,章月红. 实Banach空间中一致L-Lipschitzian 渐近半压缩映象具误差的迭代序列的收敛性[J]. 工程数学学报, 2007, 24(1): 163-167
作者姓名:倪仁兴  章月红
作者单位:绍兴文理学院数学系,绍兴312000;绍兴文理学院数学系,绍兴312000
基金项目:国家自然科学基金 , 浙江省自然科学基金 , 浙江省教委重点科研基金
摘    要:讨论了任意实Banach空间中一致L-Lipschitian渐近半压缩映象的不动点的具误差的Ishikawa迭代序列的逼近问题,所得结果是Sun Zhaohong等人的最近结果的改进和推广。

关 键 词:一致L-Lipschitzian  k-严格渐近伪压缩映象  渐近半压缩映象  迭代序列  不动点
文章编号:1005-3085(2007)01-0163-05
修稿时间:2004-08-02

Convergence of Iterative Sequences for Uniformly L-Lipschitzian Asymptotically Demicontractive Mappings with Errors in Real Banach Spaces
NI Ren-xing,ZHANG Yue-hong. Convergence of Iterative Sequences for Uniformly L-Lipschitzian Asymptotically Demicontractive Mappings with Errors in Real Banach Spaces[J]. Chinese Journal of Engineering Mathematics, 2007, 24(1): 163-167
Authors:NI Ren-xing  ZHANG Yue-hong
Affiliation:Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing 312000
Abstract:Discussed in this paper are the approximation problems of Ishikawa iteration with errors of fixed points for uniformly L-Lipschitzian asymptotically demicontractive mappings in arbitrary real Banach spaces.Obtained results improve and extend the corresponding recent results of Su Zhaohong et al.and the other authors.
Keywords:uniformly L-Lipschitzian  k-strictly asymptotically pseudocontractive mapping  asymptotically demicontractive mapping  iterative sequence  fixed point
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