| 一致凸Banach空间上有限个非扩张映象的隐式迭代过程 |
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| 引用本文： | 向长合.一致凸Banach空间上有限个非扩张映象的隐式迭代过程[J].重庆师范大学学报(自然科学版),2006,23(2):5-7. |
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| 作者姓名： | 向长合 |
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| 作者单位： | 重庆师范大学,数学与计算机科学学院,重庆,400047 |
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| 摘 要： | 对有限个具有公共不动点的非扩张映象引入具误差的隐式迭代序列,并在不同条件下证明了具误差的隐式迭代序列分别弱收敛,和强收敛于这有限个非扩张映象的某一公共不动点。
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| 关 键 词： | 一致凸Banach空间 非扩张映象 隐式迭代序列 公共不动点 Opial条件 |
| 文章编号： | 1672-6693(2006)02-0005-03 |
| 修稿时间： | 2005年6月16日 |
An Implicit Iterative Process for a Finite Family of Nonexpansive Mappings in Uniformly Convex Banach Space |
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| XIANG Chang-he.An Implicit Iterative Process for a Finite Family of Nonexpansive Mappings in Uniformly Convex Banach Space[J].Journal of Chongqing Normal University:Natural Science Edition,2006,23(2):5-7. |
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| Authors: | XIANG Chang-he |
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| Abstract: | This paper introduces implicit iterative sequence possessed errors for a finite family of nonexpansive mappings with common fixed points and proves that, under different conditions, the implicit iterative sequence with errors converges weakly and converges strongly to a common fixed point respectively. |
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| Keywords: | uniformly convex Banach space nonexpansive mappings implicit iterative sequence common fixed point Opial's condition |
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