| 渐近伪压缩映象的收敛性定理 |
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| 引用本文： | 沈自飞,杨敏波,王亚琴.渐近伪压缩映象的收敛性定理[J].数学年刊A辑(中文版),2005(5). |
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| 作者姓名： | 沈自飞 杨敏波 王亚琴 |
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| 作者单位： | 浙江师范大学数学系，浙江师范大学数学系，浙江师范大学数学系 浙江 金华 321004 北京信息控制研究所，北京 100037，浙江 金华 321004，浙江 金华 321004 |
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| 基金项目： | 国家自然科学基金(No．10471113)
浙江省自然科学基金(No．M103098)资助的项目． |
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| 摘 要： | 在任意的实Banach空间中,证明了一致Lipschitzian和渐近伪压缩映象的具误差的Ishikawa和Mann迭代序列的一些收敛性定理.
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| 关 键 词： | 渐近伪压缩映象 Ishilcawa和Mann迭代程序 渐近非扩张映象 |
CONVERGENCE THEOREMS FOR ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPING |
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| SHEN Zifei YANG Minbo WANG Yaqin.CONVERGENCE THEOREMS FOR ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPING[J].Chinese Annals of Mathematics,2005(5). |
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| Authors: | SHEN Zifei YANG Minbo WANG Yaqin |
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| Institution: | SHEN Zifei YANG Minbo WANG Yaqin Department of Mathematics,Zhejiang Normal University,Jinhua,Zhejiang 321004,China, Beijing Institute of Information and Control,Beijing 100037,China. Department of Mathematics,Zhejiang Normal University,Jinhua,Zhejiang 321004,China. |
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| Abstract: | Some convergence theorems are obtained for Ishikawa and Mann iterative sequences with errors of a uniformly Lipschitzian and asymptotically pseudocontractive mapping which is a self-mapping in a nonempty closed convex and bounded subset of an arbitrary real Banach space. |
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| Keywords: | Asymptotically pseudocontractive mapping Ishikawa and Mann iterative processes Asymptotically nonexpansive mapping |
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