| Convergence Theorms of Ishikawa Iterative for Asymptotically Non—expansive Mapping in a Uniformly Convex Banach space |
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| 引用本文： | 苏永福.Convergence Theorms of Ishikawa Iterative for Asymptotically Non—expansive Mapping in a Uniformly Convex Banach space[J].沧州师专学报,2001,17(1):30-34. |
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| 作者姓名： | 苏永福 |
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| 作者单位： | 沧州师范专科学校,河北,沧州,061001 |
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| 摘 要： | 文4]把文3]的主要结果从Hilbert空间推广到一致凸Banach空间,证明了一致凸Banach空间中文上从有界闭凸集到自身的渐近非扩张映象的迭代序列收敛定理.本文将有界闭凸集的条件减弱为闭凸集,从而推广了文4]的相应结果.
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| 关 键 词： | 有界闭凸集 一致凸Banach空间 渐近非扩张映象 迭代序列收敛定理 |
Convergence Theorms of Ishikawa Iterative for Asymptotically Non-expansive Mapping in a Uniformly Convex Banach space |
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| Su Yong fu.Convergence Theorms of Ishikawa Iterative for Asymptotically Non-expansive Mapping in a Uniformly Convex Banach space[J].Journal of Cangzhou Teachers‘College,2001,17(1):30-34. |
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| Authors: | Su Yong fu |
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| Abstract: | In paper 4], the relative result of Jiirgen schu is extended to a uniformly convex Banach space, and the convergence of iterative sequence in an uniformly conves Banach space for asymptotically non - expanstive mapping is proved.In paper 4], T is asymptotically non - expanstive mapping with sequence {Kn} in a bounded closed convex subset C of uniformly convex Banach space.In this paper, we let only C is closed convex subset of uniformlly convex Banach space. But convergence theorms of iterative sequences for asymptotically non-expanstive mapping was also proved. |
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| Keywords: | mapping iterate |
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