| 一致凸Banach空间非扩张映象的修正Ishikawa迭代序列的强收敛 |
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| 引用本文： | 王学武. 一致凸Banach空间非扩张映象的修正Ishikawa迭代序列的强收敛[J]. 应用泛函分析学报, 2008, 10(1): 27-34 |
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| 作者姓名： | 王学武 |
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| 作者单位： | 山东工商学院数学与信息科学学院,山东,烟台264005 |
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| 摘 要： | 在一致凸Banach空间上，研究了半紧的非扩张压缩映象的修正Ishikawasa三重迭代序列的强收敛问题，建立并证明了若干强收敛定理，推广了Mann和Ishikawa的迭代方法，改进和发展了Xu和贾如鹏等作者的主要结果．
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| 关 键 词： | 一致凸Banach空间 半紧的非扩张映象 具误差的修正Ishikawa迭代 强收敛 不动点 |
| 文章编号： | 1009-1327(2008)01-0027-08 |
| 修稿时间： | 2004-12-22 |
Some Strong Convergence Theorems of Modified Ishikawa Iterative Sequences with Errors for Nonexpansive Mappings in Uniformly Convex Banach Spaces |
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| WANG Xue-wu. Some Strong Convergence Theorems of Modified Ishikawa Iterative Sequences with Errors for Nonexpansive Mappings in Uniformly Convex Banach Spaces[J]. Acta Analysis Functionalis Applicata, 2008, 10(1): 27-34 |
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| Authors: | WANG Xue-wu |
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| Affiliation: | WANG Xue-wu( School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China) |
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| Abstract: | The strong convergence problem of the modified Ishikawa three-step iterative sequence for seml-compacting and nonexpensive mapping is studied in a uniformly convex Banach space. Some strong convergence theorems are established and extends the original iterative methods of Mann and Ishikawa. The results of this paper improve and develop the main results announced by Xu and Jia and others. |
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| Keywords: | uniformly convex Banach spacel semi-compacting nonexpansive mappingl modifiedIshikawa iteration with errors strong convergence fixed point |
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