| 一致凸Banach空间中渐近非扩张型映象不动点的具误差的迭代逼近 |
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| 引用本文： | 傅丽. 一致凸Banach空间中渐近非扩张型映象不动点的具误差的迭代逼近[J]. 河南师范大学学报(自然科学版), 2006, 34(4): 17-19,23 |
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| 作者姓名： | 傅丽 |
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| 作者单位： | 青海民族学院,数学系,西宁,810007 |
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| 基金项目： | 国家自然科学基金 , 青海民族学院校科研和教改项目 |
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| 摘 要： | 研究在一致凸Banach空间中,用具误差的Ishikawa迭代序列逼近一致L-Lipschitz渐近非扩张型映象的不动点问题,给出了具误差的Ishikawa迭代序列逼近渐近非扩张型映像不动点的强收敛定理.改进了一些文献的相关结果.
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| 关 键 词： | 渐近非扩张映象 迭代序列 不动点 一致凸Banach空间 |
| 文章编号： | 1000-2367（2006）04-0017-03 |
| 收稿时间： | 2005-12-08 |
| 修稿时间： | 2005-12-08 |
Iterative Approximation of Fixed Points for Asymptotically Nonexpansive Type Mappings with Error Member in Uniformly Convexity Banach Spaces |
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| FU Li. Iterative Approximation of Fixed Points for Asymptotically Nonexpansive Type Mappings with Error Member in Uniformly Convexity Banach Spaces[J]. Journal of Henan Normal University(Natural Science), 2006, 34(4): 17-19,23 |
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| Authors: | FU Li |
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| Affiliation: | Department of Mathematics, Qinghai Nationality College, Xining 810007, China |
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| Abstract: | In the paper, we investigate the problem of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically nonexpansive type mappings with error in uniformly convexity Banach spaces, we obtain a strong convergence theorem of Ishikawa iterative sequence with error approximation asymptotically nonexpansive type mappings, and we improve some recent results. |
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| Keywords: | asymptotically nonexpansive type mapping iterative sequence fixed point uniformly convexity Banach spaces |
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