| 渐近非扩张映射不动点的存在与迭代收敛性 |
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| 引用本文： | 于延荣,宋义生.渐近非扩张映射不动点的存在与迭代收敛性[J].数学的实践与认识,2007,37(19):144-149. |
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| 作者姓名： | 于延荣 宋义生 |
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| 作者单位： | 1. 天津工业大学,数学系,天津,300160
2. 天津工业大学,数学系,天津,300160;河南师范大学,数学系,河南,新乡,453002 |
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| 基金项目： | 国家自然科学基金;天津市教委资助项目 |
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| 摘 要： | 主要讨论一致凸Banach空间E中的非空闭凸子集上渐近非扩张映象不动点集非空的充要条件以及修正的Ishikawa迭代序列{xn}收敛到不动点的充要条件,推广与发展了Zeng Luchuan(2001),曾六川(2003),Liu Qihou(2001)等人的相应结果.
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| 关 键 词： | 不动点 渐近非扩张映射 一致凸Banach空间 Ishikawa迭代程序 |
| 修稿时间： | 2006年3月14日 |
Iterative Approximation of Fixed Points Asymptotically Nonexpansive Mappings in Uniformly Convex Banach space |
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| YU Yan-rong,SONG Yi-sheng.Iterative Approximation of Fixed Points Asymptotically Nonexpansive Mappings in Uniformly Convex Banach space[J].Mathematics in Practice and Theory,2007,37(19):144-149. |
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| Authors: | YU Yan-rong SONG Yi-sheng |
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| Abstract: | This paper mainly show that sufficent and necessary condtions of nonempty fixed points and sufficent and necessary condtions of the modified Ishikawa iteration sequence convergence to fixed points for asymptotically nonexpansive mappings of a nonempty closed convex subset in an uniformly convex Banach space.The results presented also extend and imprive some recent results. |
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| Keywords: | fixed point asymptotically nonexpansive mappings uniformly convex Banach space Ishikawa iteration process |
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