| 一类非扩张映射可数族公共不动点的带误差项的修正Ishikawa迭代算法 |
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| 引用本文： | 马剑鹏,何中全.一类非扩张映射可数族公共不动点的带误差项的修正Ishikawa迭代算法[J].四川理工学院学报(自然科学版),2013,26(1):82-86. |
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| 作者姓名： | 马剑鹏 何中全 |
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| 作者单位： | 西华师范大学数学与信息学院,四川南充,637000 |
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| 基金项目： | 四川省教育厅项目((2008)359-20) |
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| 摘 要： | 在Hilbert空间中,研究了可数族逐点渐进非扩张映射的公共不动点,利用单调混合迭代方法给出一个新的带误差项的Ishikawa迭代算法,并在适当条件下证明了此迭代序列强收敛于这族逐点渐进非扩张映射的公共不动点。这些结果改进和推广了这类问题的一些最新研究结果。
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| 关 键 词： | 逐点渐近非扩张 无限可数族 公共不动点 投影算子 |
Modified Ishikawa Iteration Algorithm with Errors of Common Fixed Points for a Class Countable Family of Nonexpansive Mappings |
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| MA Jian-peng
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HE Zhong-quan.Modified Ishikawa Iteration Algorithm with Errors of Common Fixed Points for a Class Countable Family of Nonexpansive Mappings[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2013,26(1):82-86. |
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| Authors: | MA Jian-peng HE Zhong-quan |
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| Institution: | (School of Mathematics and Information,China West Normal University,Nanchong 637002,China) |
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| Abstract: | The common fixed points for the countable family of pointwise asymptotically nonexpansive mappings in Hilbert space are studied. A new modified Ishikawa iteration algorithm with errors is presented by the monotone hybrid iterative method. It is proved that the sequence generated by the algorithm converges strongly to the common fixed points under some conditions. This result improves and extends the results of the latest research of this kind of problem. |
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| Keywords: | pointwise asymptotically nonexpansive mapping an infinitely countable family common fixed point projection operator |
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