| An Implicit Iteration Process with Errors for a Finite Family of r-strictly Asymptotically Pseudocontractive Mappings |
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| 作者姓名： | Liang-gen Hu |
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| 作者单位： | Liang-gen Hu Department of Mathematics，Ningbo University，Ningbo 315211，China |
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| 基金项目： | A Project Support by Scientific Research Fund of Zhejiang Provincial Education Department（No.20051778 and No.20051760）, Scientific Research Fund of Ningbo University （200542）. |
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| 摘 要： | In this paper,we will establish several strong convergence theorems for the approximation ofcommon fixed points of r-strictly asymptotically pseudocontractive mappings in uniformly convex Banachspaces using the modiied implicit iteration sequence with errors,and prove the necessary and sufficient conditionsfor the convergence of the sequence.Our results generalize,extend and improve the recent work,in thistopic.
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| 关 键 词： | 有限族 隐式叠代过程 误差 一致凸 严格渐近伪收缩映射 |
| 收稿时间： | 13 April 2005 |
| 修稿时间： | 2005-04-13 |
An Implicit Iteration Process with Errors for a Finite Family of <Emphasis Type="Italic">r</Emphasis>−strictly Asymptotically Pseudocontractive Mappings |
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| Liang-gen Hu.An Implicit Iteration Process with Errors for a Finite Family of r-strictly Asymptotically Pseudocontractive Mappings[J].Acta Mathematicae Applicatae Sinica,2007,23(2):281-288. |
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| Authors: | Liang-gen Hu |
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| Institution: | (1) Department of Mathematics, Ningbo University, Ningbo, 315211, China |
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| Abstract: | In this paper,we will establish several strong convergence theorems for the approximation of common fixed points of r-strictly asymptotically pseudocontractive mappings in uniformly convex Banach spaces using the modiied implicit iteration sequence with errors,and prove the necessary and sufficient conditions for the convergence of the sequence.Our results generalize,extend and improve the recent work,in this topic. |
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| Keywords: | Implicit iteration process with errors uniformly convex strictly asymptotically pseudocontractive mappings common fixed point |
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