| Banach空间中非Lipschitz的渐近伪压缩映象不动点的迭代逼近问题 |
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| 引用本文： | 王绍荣,熊明.Banach空间中非Lipschitz的渐近伪压缩映象不动点的迭代逼近问题[J].应用数学学报,2007,30(1):69-75. |
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| 作者姓名： | 王绍荣 熊明 |
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| 作者单位： | 大理学院数学与计算机学院,大理,671000 |
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| 摘 要： | 本文在去掉条件“‖Tnxn-xn‖→0(n→∞)”的情况下,在任意实的Banach空间中研究了用具误差的修正的Ishikawa与Mann迭代程序来逼近非Lipschitz的渐近伪压缩映象不动点的强收敛性问题;所得结果不但改进和推广了张石生教授与曾六川教授的结果,而且也从根本上改进了定理的证明方法．
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| 关 键 词： | 渐近伪压缩映象 渐近非扩张映象 具误差的修正的Ishikawa迭代序列 不动点 |
| 修稿时间： | 2006-01-31 |
Iterative Approximation Problem of Fixed Points for Non-Lipschitzian Asymptotically Pseudocontractive Mappings in Banach Spaces |
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| WANG SHAORONG,XIONG MING.Iterative Approximation Problem of Fixed Points for Non-Lipschitzian Asymptotically Pseudocontractive Mappings in Banach Spaces[J].Acta Mathematicae Applicatae Sinica,2007,30(1):69-75. |
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| Authors: | WANG SHAORONG XIONG MING |
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| Institution: | School of Mathematics and Computer Science, Dali University, Dali 671000 |
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| Abstract: | |
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| Keywords: | asymptotically pseudocontractive mapping asymptotically nonexpansive mapping modified Ishikawa iterative sequence with errors fixed points |
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