| 有限个一致李普希兹渐近拟非扩张映像强收敛定理 |
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| 引用本文： | 肖卓峰,甄建辉,王丽萍.有限个一致李普希兹渐近拟非扩张映像强收敛定理[J].河北师范大学学报(自然科学版),2007,31(5):578-581. |
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| 作者姓名： | 肖卓峰 甄建辉 王丽萍 |
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| 作者单位： | 1. 河北师范大学,附属民族学院,河北,石家庄,050091
2. 河北师范大学,数学与信息科学学院,河北,石家庄,050016 |
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| 基金项目： | 国家自然科学基金
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河北省教育科学研究所科研课题 |
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| 摘 要： | 在任意Banach空间中,给出了有限个一致李普希兹渐近拟非扩展映像强收敛于其公共不动点的问题,此结果推广了以前的结论.
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| 关 键 词： | 渐近拟非扩展映像 修改的Mann迭代格式 公共不动点 |
| 文章编号： | 1000-5854（2007）05-0578-04 |
| 修稿时间： | 2007-03-212007-05-20 |
Strong Convergence Theorem for a Finite Family of Uniformly L-Lipschitz Asymptptically Quasi-nonexpansive Mapping |
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| XIAO Zhuo-feng,ZHEN Jian-hui,WANG Li-ping.Strong Convergence Theorem for a Finite Family of Uniformly L-Lipschitz Asymptptically Quasi-nonexpansive Mapping[J].Journal of Hebei Normal University,2007,31(5):578-581. |
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| Authors: | XIAO Zhuo-feng ZHEN Jian-hui WANG Li-ping |
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| Institution: | 1. Tibetan College, Hebei Normal University, Hebei Shijiazhuang 050091, China; 2. College of Mathematics and Information Seience,Hebei Normal University,Hebei Shijiazhuang 050016 ,China |
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| Abstract: | In arbitrary Banach space,the iterative approximation problem of common fixed point for a finite family of uniformly L-Lipschitzian asymptotically quasi-nonexpansive mappings is discussed. Extension and complement of the previous work. |
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| Keywords: | asymptptically quasi-nonexpamsive mapping modified Mann iterative process common fixed point |
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