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有限族渐近非扩张映象隐迭代序列收敛性充要条件
引用本文:唐净熔.有限族渐近非扩张映象隐迭代序列收敛性充要条件[J].重庆交通大学学报(自然科学版),2007,26(5):164-166.
作者姓名:唐净熔
摘    要:在一致凸Banach空间中,提出了一类新的两步隐迭代序列,证明了此序列收敛到有限族渐近非扩张映象的公共不动点的充要条件.所得结果推广和改进了近期相应结果.

关 键 词:一致凸Banach空间  隐迭代序列  非扩张映象

Necessary and Sufficient Condition of Strong Convergence of an Implicit Iteration Process for a Finite Family of Nonexpansive Mappings
TANG Jing-rong.Necessary and Sufficient Condition of Strong Convergence of an Implicit Iteration Process for a Finite Family of Nonexpansive Mappings[J].Journal of Chongqing Jiaotong University,2007,26(5):164-166.
Authors:TANG Jing-rong
Abstract:A new two-step interative alogorithms is put forward in a uniformly convex Banach space.The necessary and sufficient condition of strong convergence of the implicit iteration process for a finite family of nonexpansive mappings is proved.The results may extend and improve some recent corresponding results.
Keywords:uniformly convex Banach space  implicit iteration process  nonexpansive mappings
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