| 渐近半伪压缩映射的强收敛的充分必要条件 |
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| 引用本文： | 刘涌泉,郭伟平.渐近半伪压缩映射的强收敛的充分必要条件[J].数学杂志,2015,35(4):747-753. |
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| 作者姓名： | 刘涌泉 郭伟平 |
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| 作者单位： | 苏州科技学院数理学院, 江苏 苏州 215009,苏州科技学院数理学院, 江苏 苏州 215009 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (11271282). |
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| 摘 要： | 本文研究了渐近半伪压缩映射.应用带误差项的修改的Ishikawa迭代序列,得到了一致L-Lipschitzian渐近半伪压缩映射逼近其不动点的强收敛的充分必要条件.
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| 关 键 词： | 不动点 Banach空间 渐近伪压缩映射 渐近半伪压缩映射 一致L-Lipschitzian映射 |
| 收稿时间： | 2013/1/2 0:00:00 |
| 修稿时间： | 2013/5/30 0:00:00 |
A SUFFICIENT AND NECESSARY CONDITION FOR THE STRONG CONVERGENCE OF ASYMPTOTICALLY HEMI-PSEUDONTRACTIVE MAPPING |
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| LIU Yong-quan and GUO Wei-ping.A SUFFICIENT AND NECESSARY CONDITION FOR THE STRONG CONVERGENCE OF ASYMPTOTICALLY HEMI-PSEUDONTRACTIVE MAPPING[J].Journal of Mathematics,2015,35(4):747-753. |
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| Authors: | LIU Yong-quan and GUO Wei-ping |
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| Institution: | School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, China and School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, China |
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| Abstract: | In this paper,the asymptotically hemi-pseudocontractive mapping is studied in Banach space.By using the modified Ishikawa iterative scheme with errors,some sufficient and necessary conditions on the strong convergence for approximation of fixed points of the uniformly L-Lipschitzian asymptotically hemi-pseudocontractive mapping are obtained,which extend and improve some corresponding results. |
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| Keywords: | fixed point Banach space asymptotically pseudocontractive mapping asymptotically hemi-pseudocontractive mapping uniformly L-Lipshitzian mapping |
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