| 一致凸Banach空间有限个非扩张映射的弱收敛 |
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| 引用本文： | 方东辉,王仙云. 一致凸Banach空间有限个非扩张映射的弱收敛[J]. 吉首大学学报(自然科学版), 2003, 24(4): 3-6 |
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| 作者姓名： | 方东辉 王仙云 |
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| 作者单位： | (吉首大学数学与计算机科学系，湖南 吉首 416000) |
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| 基金项目： | 国家自然科学基金资助项目(10271025) |
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| 摘 要： | 利用1个新的迭代格式研究了Banach空间中有限个非扩张映射的公共不动点问题,并给出了其弱收敛定理,推广了由单个算子所产生的Ishikawa迭代序列的弱收敛性结果.
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| 关 键 词： | 非扩张算子 不动点 一致凸Banach空间 Opial条件 Frechet可微 |
| 文章编号： | 1007-2985(2003)04-0003-04 |
| 修稿时间： | 2003-09-04 |
Weak Convergence Theorems for Finite Nonexpansive Mappings in Uniformly Convex Banach Space |
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| FANG Dong-hui,WANG Xian-yun. Weak Convergence Theorems for Finite Nonexpansive Mappings in Uniformly Convex Banach Space[J]. Journal of Jishou University(Natural Science Edition), 2003, 24(4): 3-6 |
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| Authors: | FANG Dong-hui WANG Xian-yun |
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| Affiliation: | (Department of Mathematics and Computer Science,Jishou University，Jishou 416000,Hunan China) |
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| Abstract: | Through using a new iteration scheme,the problem of finding a common fixed point of finite nonexpansive mappings was considered in a uniformly convex Banach space,some weak convergence theorems were given,which generalized some weak convergence theorems of the Ishikawa iteration sequence with only one operator. |
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| Keywords: | nonexpansive mappings fixed point uniformly convex Banach spaces opial condition Frechet differentiable |
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