| Banach空间中有限簇伪压缩映象的修正迭代算法 |
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| 引用本文： | 唐艳,闻道君.Banach空间中有限簇伪压缩映象的修正迭代算法[J].云南大学学报(自然科学版),2014,36(5):629-636. |
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| 作者姓名： | 唐艳 闻道君 |
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| 作者单位： | 1.（重庆工商大学 数学与统计学院,重庆 400067） |
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| 基金项目： | 重庆市自然科学基金(CSTC,2012jjA00039);重庆市教委科技研究(KJ130712) |
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| 摘 要： | 在具有一致Gteaux可微的Banach空间中,研究了一簇伪压缩映象公共不动点的修正粘性迭代算法,并在一定条件下获得了该迭代算法的强收敛性,同时证明了该序列强收敛到一簇伪压缩映象的某个公共不动点.所得结果扩展并统一了部分类似文献的结果.
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| 关 键 词： | 伪压缩映射 公共不动点 强收敛 |
Modified iterative algorithm for a finite family of pseudo-contractive mappings in banach spaces |
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| TANG Yan;WEN Dao-jun.Modified iterative algorithm for a finite family of pseudo-contractive mappings in banach spaces[J].Journal of Yunnan University(Natural Sciences),2014,36(5):629-636. |
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| Authors: | TANG Yan;WEN Dao-jun |
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| Institution: | 1.(College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China) |
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| Abstract: | In this paper,a modified viscosity iterative process is proposed for finding a common element of the set of fixed points for a finite family of pseudo-contractive mappings in Banach spaces with a uniformly Gateaux differentiable norm.Under some suitable conditions,the strong convergence theorems of the iterative sequence are obtained.The results resents in this paper extend the results of some similar literatures. |
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| Keywords: | pseudo-contractive mappings fixed point strong convergence |
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