| 渐近拟非扩张型的映像不动点的Ishikawa迭代逼近 |
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| 引用本文： | 杨鹏,崔艳兰,宋娜娜. 渐近拟非扩张型的映像不动点的Ishikawa迭代逼近[J]. 延安大学学报(自然科学版), 2011, 30(3): 22-24,35 |
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| 作者姓名： | 杨鹏 崔艳兰 宋娜娜 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西延安,716000 |
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| 摘 要： | 在新的条件之下,研究了渐近拟非扩张型的映像具误差项的Ishikawa迭代逼近不动点的问题,同时给出了强收敛定理。在主要结果中,满足有界Ishikawa迭代序列{xn}的某些条件下,不需要集合K和T的值域的有界性。
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| 关 键 词： | 一致凸Banach空间 渐近拟非扩张型的映像 迭代序列 不动点 |
Ishikawa Iterative Approximation of Fixed Points for Asymptotically Quasi-nonexpansive Mapping |
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| YANG PENG,CUI Yan-lan,SONG Na-na. Ishikawa Iterative Approximation of Fixed Points for Asymptotically Quasi-nonexpansive Mapping[J]. Journal of Yan'an University(Natural Science Edition), 2011, 30(3): 22-24,35 |
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| Authors: | YANG PENG CUI Yan-lan SONG Na-na |
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| Affiliation: | YANG PENG,CUI Yan-lan,SONG Na-na (College of Mathematics and Computer Science,Yanan University,Yanan 716000,China) |
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| Abstract: | In the new conditions,we study the asymptotically quasi-nonexpansive mapping with errors Ishikawa iterative approximation problem of fixed points,and the strong convergence theorrem is given.In our main results,bounded subsequence under Ishikawa iterative sequence with some conditions,the assumption that set K and the range of the mapping T are bounded is not needed. |
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| Keywords: | uniformly-convex Banach space asymptotically quasi-nonexpansive mapping iterative sequence fixed point |
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