| 非Lipschitz渐近伪压缩映象不动点的迭代逼近 |
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| 引用本文： | 王绍荣,杨泽恒,熊明.非Lipschitz渐近伪压缩映象不动点的迭代逼近[J].应用数学,2012,25(1):214-219. |
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| 作者姓名： | 王绍荣 杨泽恒 熊明 |
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| 作者单位： | 大理学院数学与计算机学院,云南大理,671000 |
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| 基金项目： | 云南省自然科学基金资助项目 |
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| 摘 要： | 本文在任意实的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;在去掉条件"‖Tnxn-xn‖→0(n→∞)"及"{xn}有界"之下,证明了相关文献的结果仍然成立.所得结果改进和推广了最近一些人的最新结果.
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| 关 键 词： | 渐近伪压缩映象 渐近非扩张映象 Ishikawa迭代序列 不动点 |
Iterative Approximations of Fixed Points for Non-Lipschitzian Asymptotically Pseudocontractive Mappings |
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| WANG Shaorong
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YANG Zeheng
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XIONG Ming.Iterative Approximations of Fixed Points for Non-Lipschitzian Asymptotically Pseudocontractive Mappings[J].Mathematica Applicata,2012,25(1):214-219. |
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| Authors: | WANG Shaorong YANG Zeheng XIONG Ming |
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| Institution: | (College of Mathematics and Computer Science,Dali University,Dali 671000,China) |
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| Abstract: | The purpose of this paper is to investigate the strong convergence problem of the modified Ishikawa and Mann iterative processes with errors for approximating fixed points of non-Lipschitzian asymptotically pseudocontractive mappings in an arbitrary real Banach space.Under the condition of removing the restriction"‖Tnxn-xn‖→0(n→∞)"and "{xn} is bounded",it is proven that the relevant results remain true.The results presented in this paper improve and extend some recent existing results. |
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| Keywords: | Asymptotically pseudocontractive mapping Asymptotically nonexpansive mapping Ishikawa iterative sequence Fixed point |
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