| Banach空间中k-渐近拟伪压缩映像不动点的迭代算法 |
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| 引用本文： | 陈东青,何斌,刘立红.Banach空间中k-渐近拟伪压缩映像不动点的迭代算法[J].河北大学学报(自然科学版),2012,32(2):113-117. |
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| 作者姓名： | 陈东青 何斌 刘立红 |
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| 作者单位： | 军械工程学院基础部,河北石家庄,050003 |
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| 基金项目： | 国家自然科学基金资助项目，军械工程学院基金 |
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| 摘 要： | 在严格拟伪压缩映像不动点的迭代算法基础上,给出了Banach空间中渐近k-拟伪压缩映像不动点的迭代算法,改进了算法,并证明了一个强收敛定理,扩展了已知的相关结果.
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| 关 键 词： | Banach空间 渐近k-拟伪压缩映像 广义投影算法 不动点 |
Iteration method for fixed points of asymptotically quasi pseudocontraction mapping in Banach spaces |
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| CHEN Dong-qing
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HE Bin
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LIU Li-hong.Iteration method for fixed points of asymptotically quasi pseudocontraction mapping in Banach spaces[J].Journal of Hebei University (Natural Science Edition),2012,32(2):113-117. |
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| Authors: | CHEN Dong-qing HE Bin LIU Li-hong |
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| Institution: | (Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | Based on the iteration method for fixed points of quasi-strict psedo-contraction mapping,an iteration algorithm for fixed points of k-asymptotically quasi pseudo-contraction mapping in Banach spaces is proposed,then a strong convergence theorem is proved by using the modified algorithm.The known related results are extended. |
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| Keywords: | Banach spaces k-asymptotically quasi pseudo-contraction mapping generalized hybrid projection fixed point |
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