| Banach空间中φ-渐进非扩展映像不动点的迭代构造 |
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| 引用本文： | 管维荣,周海云.Banach空间中φ-渐进非扩展映像不动点的迭代构造[J].应用泛函分析学报,2008,10(1):65-70. |
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| 作者姓名： | 管维荣 周海云 |
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| 作者单位： | 军械工程学院基础部,河北,石家庄050003 |
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| 摘 要： | 在Mann的迭代算法基础上，运用Banach空间中的广义投影，使渐进非扩展映像每次迭代生成的序列都投影到一个闭凸的集合中．并证明了该算法的强收敛性．
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| 关 键 词： | 渐进非扩展映像 不动点 Banach空间 广义投影 |
| 文章编号： | 1009-1327(2008)01-0065-06 |
| 修稿时间： | 2006年5月9日 |
Construction of Approximate Fixed Points Sequence of φ-Asymptotically Nonexpansive Mapping in Banach Space |
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| GUAN Wei-rong,ZHOU Hai-yun.Construction of Approximate Fixed Points Sequence of φ-Asymptotically Nonexpansive Mapping in Banach Space[J].Acta Analysis Functionalis Applicata,2008,10(1):65-70. |
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| Authors: | GUAN Wei-rong ZHOU Hai-yun |
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| Institution: | (Department of Basic Courses, Ordnance Engineering College, Shijiazhuang Hebei 050003, China) |
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| Abstract: | Based on Mann iteration method, the sequence of asymptotically nonexpansive mapping generated by iteration is located in a closed and convex set by using the generalized projection. The strong convergence of the algorithm is proved. |
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| Keywords: | asymptotically nonexpanslve mapping fixed point Banach space generalized projection |
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