| 有限族渐近非扩张映射的具误差的显迭代程序的强与弱收敛性 |
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| 引用本文： | 郝彦. 有限族渐近非扩张映射的具误差的显迭代程序的强与弱收敛性[J]. 数学的实践与认识, 2008, 38(15) |
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| 作者姓名： | 郝彦 |
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| 作者单位： | 浙江海洋学院,数理与信息学院,浙江,舟山316004 |
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| 基金项目： | 浙江省教育厅资助项目 |
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| 摘 要： | 在Banach空间中,讨论有限族渐近非扩张映射和非扩张映射的具有误差项的显迭代格式的强收敛和弱收敛性,其结果推广和改进了相关结果.
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| 关 键 词： | 渐近非扩张映射 非扩张映射 关于映射族的带误差显迭代序列 公共不动点 Opial条件 半闭原理 半紧性 |
Strong and Weak Convergence of an Explicit Iterative Process with Errors for a Finite Family of Asymptotically Nonexpansive Mappings |
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| HAO Yan. Strong and Weak Convergence of an Explicit Iterative Process with Errors for a Finite Family of Asymptotically Nonexpansive Mappings[J]. Mathematics in Practice and Theory, 2008, 38(15) |
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| Authors: | HAO Yan |
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| Abstract: | The purpose of this paper is to study the strong and weak convergence of an explicit iterative process with errors to a common fixed point for a finite family of asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces.The results presented in this paper extend and improve the corresponding results. |
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| Keywords: | Asymptotically nonexpansive mapping Nonexpansive mapping Explicit iterative sequence with errors for a finite family Common fixed point Opial condition Demi-closed principle Semi-compactness |
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