| Banach空间中修改的Mann迭代与隐Mann迭代收敛的等价性定理 |
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| 引用本文： | 吕桂稳,薛志群. Banach空间中修改的Mann迭代与隐Mann迭代收敛的等价性定理[J]. 河北师范大学学报(自然科学版), 2012, 36(5): 443-447 |
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| 作者姓名： | 吕桂稳 薛志群 |
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| 作者单位： | 石家庄铁道大学数理系,河北石家庄,050043 |
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| 基金项目： | 河北省自然科学基金(A2011210033);石家庄铁道大学科研专项基金(Q64) |
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| 摘 要： | 在一般的Banach空间中,证明了修改的Mann迭代序列和修改的隐Mann迭代序列关于几乎一致L-Lipschitz的广义渐近Φ-压缩映射收敛的等价性定理,推广和改进了近期的相关结果.
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| 关 键 词： | 修改的Mann迭代序列 修改的隐Mann迭代序列 广义渐近Φ-伪压缩映射 几乎一致L-Lipschitz映射 Banach空间 |
The Equivalence Between the Convergence of Modified Mann and Implicit Mann Iterations in Banach Spaces |
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| LYU Guiwen , XUE Zhiqun. The Equivalence Between the Convergence of Modified Mann and Implicit Mann Iterations in Banach Spaces[J]. Journal of Hebei Normal University, 2012, 36(5): 443-447 |
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| Authors: | LYU Guiwen XUE Zhiqun |
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| Affiliation: | (Department of Mathematics and Physics,Shijiazhuang Tiedao University,Hebei Shijiazhuang 050043,China) |
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| Abstract: | The equivalence of the convergence of the modified Mann iterationprocess and the modified implicit Mann iteration process for nearly uniformly L-Lipschitz and asymptotically generalized Φ-contractive mappings in general Banach spaces is proved.The corresponding results are extended and improved. |
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| Keywords: | modified Mann iteration modified implicit Mann iteration asymptotically generalized Φ-contractive mapping nearly uniform L-Lipschitz mapping Banach space |
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