| 关于Lipschitzian伪压缩映射的合成隐迭代序列(英文) |
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| 引用本文： | 阚绪周,郭伟平. 关于Lipschitzian伪压缩映射的合成隐迭代序列(英文)[J]. 数学杂志, 2014, 34(1): 1-6 |
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| 作者姓名： | 阚绪周 郭伟平 |
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| 作者单位： | 苏州科技学院数理学院 |
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| 基金项目： | Supported by National Natural Science Foundation of China(11271282) |
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| 摘 要： | 本文研究了Lipschitzian伪压缩映射的合成隐迭代序列.利用伪压缩映射等价不等式,在Banach空间中,得到了合成隐迭代序列强收敛的充分必要条件,推广了一些相关的结果.
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| 关 键 词： | 伪压缩映射 不动点 合成隐迭代序列 Banach空间 |
| 收稿时间： | 2012-10-12 |
| 修稿时间： | 2012-12-24 |
COMPOSITE IMPLICIT ITERATION PROCESS FOR A LIPSCHITZIAN PSEUDOCONTRACTIVE MAPPING |
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| KAN Xu-zhou and GUO Wei-ping. COMPOSITE IMPLICIT ITERATION PROCESS FOR A LIPSCHITZIAN PSEUDOCONTRACTIVE MAPPING[J]. Journal of Mathematics, 2014, 34(1): 1-6 |
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| Authors: | KAN Xu-zhou and GUO Wei-ping |
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| Affiliation: | KAN Xu-zhou;GUO Wei-ping;School of Mathematics and Physics,Suzhou University of Science and Technology; |
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| Abstract: | In this paper, the composite implicit iterative process for a Lipschitzian pseudocontractive mapping is studied. By using the corresponding equivalent inequality of pseudocontractive mapping, the sufficient and necessary conditions for the strong convergence of the composite implicit iterative process are obtained in Banach spaces, which generalize some related results. |
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| Keywords: | pseudocontractive mapping fixed point composite implicit iterative scheme Banach space |
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