| 关于Browder-Petryshyn型严格伪压缩映射的复合迭代逼近方法 |
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| 引用本文： | 何振华,谷峰.关于Browder-Petryshyn型严格伪压缩映射的复合迭代逼近方法[J].工程数学学报,2008,25(5). |
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| 作者姓名： | 何振华 谷峰 |
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| 作者单位： | 1. 云南红河学院数学系,蒙自,云南,661100
2. 杭州师范大学数学系,杭州,310036 |
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| 基金项目： | 浙江省自然科学基金，黑龙江省自然科学基金，浙江省教育厅资助项目，红河学院科研启动项目 |
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| 摘 要： | 本文通过建立新的迭代格式,采用一些分析方法和技巧,研究了迭代序列逼近有限个BrowderoPetryshyn型严格伪压缩映射的公共不动点问题.在适当的条件下,证明了迭代序列强收敛到映射族的公共不动点,改进和推广了某些最新结果.
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| 关 键 词： | Browder-Petryshyn型严格伪压缩映射 公共不动点 强收敛 |
Composite Iteration Approximation Methods for Strictly Pseudocontractive Mappings in Terms of Browder-Petryshyn |
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| HE Zhen-hua,GU Feng.Composite Iteration Approximation Methods for Strictly Pseudocontractive Mappings in Terms of Browder-Petryshyn[J].Chinese Journal of Engineering Mathematics,2008,25(5). |
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| Authors: | HE Zhen-hua GU Feng |
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| Abstract: | Studied in this paper are some problems about iterative sequence approximating common fixed point for a family of strictly pseudocontractive mappings in the terms of Browder-Petryshyn by introducing a new iterative process and using some analysis methods and techniques. Under appropriate conditions, it is proved that the iterative sequence converge strongly to a common fixed point for the family of mappings, and some recent results are improved and generalized. |
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| Keywords: | strictly pseudocontractive mapping in Browder-Petryshyn common fixed point strong convergence |
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