| Banach空间中严格渐近伪压缩映象的收敛性问题 |
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| 引用本文： | 胡良根. Banach空间中严格渐近伪压缩映象的收敛性问题[J]. 应用泛函分析学报, 2005, 7(3): 228-233 |
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| 作者姓名： | 胡良根 |
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| 作者单位： | 宁波大学数学系,浙江,宁波,315211 |
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| 摘 要： | 在一致凸的Banach空间中，采用新的证明方法研究了严格渐近伪压缩映象和渐近非膨胀映象带误差的修正的Mann和Ishikawa迭代程序的收敛性问题，不要求定义域、值域有界，且迭代系数更简单．
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| 关 键 词： | 一致凸Banach空间 严格渐近伪压缩映象 渐近非膨胀映象 带误差的修正的Mann迭代程序 带误差的修正的Ishikawa迭代程序 |
| 文章编号： | 1009-1327（2005）03-0228-06 |
| 收稿时间： | 2004-08-31 |
| 修稿时间： | 2004-08-31 |
The Problem of Convergence for Strictly Asymptotically Pseudocontractive Mappings in Banch Spaces |
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| HU Liang-gen. The Problem of Convergence for Strictly Asymptotically Pseudocontractive Mappings in Banch Spaces[J]. Acta Analysis Functionalis Applicata, 2005, 7(3): 228-233 |
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| Authors: | HU Liang-gen |
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| Abstract: | This paper adopts a new proof method to study the convergence problems of the modified Mann and Ishikawa iterative process with errors for strictly asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings in uniformly convex Banach spaces. The bounded of the domain and range can be not required, and the iterative coefficient be more easy. |
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| Keywords: | uniformly convex Banach spaces strictly asymptotically pseudocontractive mapping asymptotically nonexpansive mapping modified Mann iterative process with errors modified Ishikawa iterative process with errors |
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