| 用Ishikawa迭代程序逼近严格伪压缩映射的不动点 |
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| 引用本文： | 姚新颉.用Ishikawa迭代程序逼近严格伪压缩映射的不动点[J].应用数学与计算数学学报,2004,18(1):67-70. |
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| 作者姓名： | 姚新颉 |
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| 作者单位： | 浙江树人大学,杭州,310015 |
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| 摘 要： | 本文证明了定义在Banach空间X中闭凸子集K上的Lipschitz严格伪压缩 映射T的不动点,可由Ishilkawa迭代程序逼近,并给出了更一般的收敛率的估计,从而 统一和发展了近期的一些有关的结果.
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| 关 键 词： | 严格伪压缩映射 Ishikawa迭代序列 Lipschitz映射 不动点 收敛率估计 |
| 修稿时间： | 2004年1月8日 |
Approximation Fixed Points of Strictly Pseudocontractive Mappings by Ishikawa Iterative Procedure |
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| Yao Xinjie
Zhejiang Shuren University,Hangzhou ,China.Approximation Fixed Points of Strictly Pseudocontractive Mappings by Ishikawa Iterative Procedure[J].Communication on Applied Mathematics and Computation,2004,18(1):67-70. |
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| Authors: | Yao Xinjie
Zhejiang Shuren University Hangzhou China |
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| Institution: | Yao Xinjie
Zhejiang Shuren University,Hangzhou 310015,China |
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| Abstract: | It is shown that any fixed point of a Lipschitzian. Strictly pseudocontractive mapping T on a closed convex subset K of a Banach space X may be approximated by Ishikawa iterative procedure, and provides the convergence rate estimate which is much better then that given by other authers. These results unify and generalize the recent corresponding results. |
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| Keywords: | strictly pseudocontractive mapping Ishikawa iterative procedure Lips-chitzian mapping fixed point convergence rate estimate |
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