| 一种修正的Mann迭代算法的强收敛性 |
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| 引用本文： | 何松年,李荣华.一种修正的Mann迭代算法的强收敛性[J].中国民航学院学报,2009,27(5):61-64. |
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| 作者姓名： | 何松年 李荣华 |
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| 作者单位： | 中国民航大学理学院,天津,300300 |
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| 基金项目： | 天津市自然科学基金项目 |
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| 摘 要： | 设H是一Hilbert空间，C为H的非空闭凸子集，T：C→C为一非扩张映射。在假设零元素θ∈C的情况下采用正则化思想，提出了一种不涉及投影算子的Mann迭代修正算法来逼近T的不动点，证明了算法的强收敛性。
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| 关 键 词： | 正则化方法 非扩张映射 强收敛 Mann迭代 不动点 |
Strong Convergence of Modified Mann Iterations |
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| HE Song-nian,LI Rong-hua.Strong Convergence of Modified Mann Iterations[J].Journal of Civil Aviation University of China,2009,27(5):61-64. |
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| Authors: | HE Song-nian LI Rong-hua |
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| Institution: | (College of Science, CAUC, Tianjin 300300,China) |
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| Abstract: | Let H be a Hilbert space, C a nonempty closed convex subset of H,and T：C→C a nonexpansive mapping. Under the assumption that θ∈C, a modified Mann iteration process based on the regularization method, which has nothing to do with projection operators, is proposed for approximating fixed points of T. The strong convergence is obtained. |
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| Keywords: | regularization method nonexpansive mapping strong convergence modified mann iterations fixed point |
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