| 迭代逼近渐近非扩张映象的不动点 |
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| 引用本文： | 张云艳.迭代逼近渐近非扩张映象的不动点[J].泰山学院学报,2005,27(6):8-12. |
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| 作者姓名： | 张云艳 |
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| 作者单位： | 毕节学院,数学系,贵州,毕节,551700 |
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| 摘 要： | 引入具随机混合型误差的Ishikawa和Mann迭代序列,在实Banach空间中研究了渐近非扩张映象和渐近伪压缩映象不动点的具随机混合型误差的Ishikawa和Mann迭代序列的逼近问题,建立了几个强收敛定理,改进和发展了许多已知的结果.
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| 关 键 词： | 渐近非扩张映象 渐近伪压缩映象 一致L-Lipschitz映象 具随机混合型误差的Ishikawa和Mann迭代 |
| 文章编号： | 1672-2590（2005）06-0008-05 |
| 收稿时间： | 2005-08-12 |
| 修稿时间： | 2005-08-12 |
Iterative approximations of fixed points for asymptotically nonexpansive mappings |
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| ZHANG Yun-yan.Iterative approximations of fixed points for asymptotically nonexpansive mappings[J].Journal of Taishan University,2005,27(6):8-12. |
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| Authors: | ZHANG Yun-yan |
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| Institution: | Department of Mathematics, Bijie University, Bijie 551700, China |
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| Abstract: | By introducing the concept for Ishikawa and Mann iterative sequence with random mixed errors, this paper studies Ishikawa and Mann iterative sequence with random mixed errors approximations problem for asymptotically nonexpansive mappings and asymptotically pseudo-contractive mappings in general real Banach space,and sets up several strong convergent theorems, thus improving some corresponding results. |
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| Keywords: | asymptotically nonexpansive-mapping asymptotically pseudo-contractive mapping consistent L-Lipschitz mappings Ishikawa and Mann iterative sequence with random mixed errors |
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