| Banach空间中带误差修改的不动点迭代逼近 |
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| 引用本文： | 刘洁,赵秀兰.Banach空间中带误差修改的不动点迭代逼近[J].数学学报,2016,59(6):767-774. |
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| 作者姓名： | 刘洁 赵秀兰 |
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| 作者单位： | 黄河科技学院数理部 郑州 450063 |
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| 基金项目： | 河南省教育厅科学技术研究项目（14B110024）；郑州市科技局项目（20141375） |
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| 摘 要： | 对Banach空间中一致L-Lipschitz映射带误差修改的Ishikawa迭代序列和带误差的修改的Mann迭代序列强收敛的充要条件进行了研究,所得结果改进和推广了最近文献中的一些相应结果.
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| 关 键 词： | 一致L-Lipschitz映射 渐近非扩张映射 带误差修改的迭代序列 不动点 |
Modified Iterative Approximations of Fixed Points with Errors in Banach Spaces |
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| Jie LIU,Xiu Lan ZHAO.Modified Iterative Approximations of Fixed Points with Errors in Banach Spaces[J].Acta Mathematica Sinica,2016,59(6):767-774. |
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| Authors: | Jie LIU Xiu Lan ZHAO |
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| Institution: | Department of Mathematics and Physics, Huanghe Science and Technology School, Zhengzhou 450063, P. R. China |
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| Abstract: | The sufficient and necessary conditions are studied on the strong convergence of the modified Ishikawa iterative sequence with errors and the modified Mann iterative sequence with errors for uniformly L-Lipschitz mappings in Banach spaces. The results of this paper improve and extend some corresponding results in the recent literature. |
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| Keywords: | uniformly L-Lipschitz mapping asymptotically nonexpansive mapping modified iterative sequence with error fixed point |
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