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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. |
| 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 |
| DOI： |
| 分类号:O177.91 |
| 基金项目:Supported by the National Natural Science Foundation of China (11271282). |
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| A SUFFICIENT AND NECESSARY CONDITION FOR THE STRONG CONVERGENCE OF ASYMPTOTICALLY HEMI-PSEUDONTRACTIVE MAPPING |
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LIU Yong-quan,GUO Wei-ping
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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. |
| Key words: fixed point Banach space asymptotically pseudocontractive mapping asymptotically hemi-pseudocontractive mapping uniformly L-Lipshitzian mapping |
