| 巴拿赫空间上的强收敛（英文） |
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| 引用本文： | 李晓南.巴拿赫空间上的强收敛（英文）[J].湖州师专学报,2010(2):1-8. |
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| 作者姓名： | 李晓南 |
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| 作者单位： | 苏州科技学院数理学院,江苏苏州215009 |
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| 摘 要： | 通过研究一种相对于Mann型和Ishikawa型进一步推广的迭代方式,给出了Banach空间中有限个非扩张映射逼近序列的强收敛定理.该结论不仅推广了文献2]中Chidume和Shahzad的结论,而且弱化了原定理中对非扩张映射的要求,去掉了＂半紧＂的限制条件.
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| 关 键 词： | 非扩张映射 强收敛 一致凸 不动点 一致的Gateaux可微范数 |
Strong Convergence on Banach Spaces |
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| Institution: | LI Xiao - nan (Faculty of Mathematics and Physics, Suzhou College of Science and Technology, Suzhou 215009, China) |
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| Abstract: | Strong convergence theorem for approximation of common fixed points of a finite family of non -expansive mappings is given in Banach spaces by employing an implicit iteration, which is a generalized Mann - type and Ish- ikawa -type scheme. This work improves Chidume and Shahzad＇s result and relaxes the restriction about those non - expansive mappings by deleting the ＂semi - compact＂ condition. |
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| Keywords: | non - expansive mapping strong convergence uniformly convex fixed point uniformly GMeaux differ- entiable norm |
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