| 渐近非扩张映射的迭代收敛定理 |
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| 引用本文： | 张丽娟,陈俊敏,佟慧.渐近非扩张映射的迭代收敛定理[J].河北大学学报(自然科学版),2009,29(5):457. |
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| 作者姓名： | 张丽娟 陈俊敏 佟慧 |
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| 作者单位： | 1.河北大学数学与计算机学院河北保定,071002;河北省数学研究中心,河北石家庄,050016； 2.河北大学数学与计算机学院河北保定,071002 |
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| 基金项目： | 河北省自然科学基金数学研究专项资助项目，河北省教育厅资助项目 |
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| 摘 要： | E是实Banach空间,其范数是一致G可微的;K是E的非空闭凸子集,T:K→K是具有序列{kn}(∪)1,∞},limknn→∞=1的渐近非扩张映射.在一定条件下,讨论的迭代序列{xn)强收敛到T的1个不动点.
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| 关 键 词： | 渐近非扩张映射 一致G可微 不动点 |
Strong Convergence of the Iterative Scheme for Asymptotically Nonexpansive Mapping |
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| ZHANG Li-juan,CHEN Jun-min,TONG Hui.Strong Convergence of the Iterative Scheme for Asymptotically Nonexpansive Mapping[J].Journal of Hebei University (Natural Science Edition),2009,29(5):457. |
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| Authors: | ZHANG Li-juan CHEN Jun-min TONG Hui |
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| Institution: | 1.College of Mathematics and Computer;Hebei University;Baoding 071002;China;2.Mathematics Research Center of Hebei Province;Shijiazhuang 050016;China |
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| Abstract: | Let E be a real Banach space with a uniformly Gateaux differentiable norm,K be a nonempty closed convex subset of E and T:K→K be an asymptotically nonexpansive mapping with a sequence {kn}1,∞},limn→∞kn=1.It is shown that under some suitable conditions,the sequence {xn} converges strongly to some fixed point of T. |
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| Keywords: | asymptotically nonexpansive mappings uniformly Gteaux differentiable norm fixed point |
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