| 有限族Lipchitz映射隐迭代序列的强收敛 |
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| 引用本文： | 陈伟旭,郭伟平. 有限族Lipchitz映射隐迭代序列的强收敛[J]. 苏州科技学院学报(自然科学版), 2012, 29(2): 15-17,29 |
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| 作者姓名： | 陈伟旭 郭伟平 |
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| 作者单位： | 苏州科技学院数理学院,江苏苏州,215009 |
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| 基金项目： | 江苏省教育厅高校自然科学基金资助项目，苏州科技学院研究生科研创新计划项目 |
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| 摘 要： | 在Banach空间中,引入了一类新的有限族Lipchitz映射带误差项的隐迭代序列,并证明了此序列强收敛于公共不动点的充分必要条件。
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| 关 键 词： | Banach空间 Lipchitz映射 隐迭代序列 强收敛 公共不动点 |
On the strong convergence of implicit iterative sequence with errors for a finite family of Lipschitzian mappings |
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| CHEN Weixu,GUO Weiping. On the strong convergence of implicit iterative sequence with errors for a finite family of Lipschitzian mappings[J]. Journal of University of Science and Technology of Suzhou, 2012, 29(2): 15-17,29 |
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| Authors: | CHEN Weixu GUO Weiping |
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| Affiliation: | (School of Mathematics and Physics,SUST,Suzhou 215009,China) |
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| Abstract: | This paper studies a new kind of implicit iterative sequence with errors that belongs to a finite family of Lipschitzian mappings in Banach spaces.Further,it obtains the necessary and sufficient condition of the strong convergence of this sequence for the common fixed point. |
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| Keywords: | Banach space Lipschitzian mapping implicit iterative sequence strong convergence common fixed point |
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