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Banach空间中渐近非扩张映象的收敛性定理
引用本文:张石生,徐裕光,何昌.Banach空间中渐近非扩张映象的收敛性定理[J].数学学报,2003,46(4):665-672.
作者姓名:张石生  徐裕光  何昌
作者单位:1. 宜宾学院数学系,宜宾,644007;四川大学数学系,成都,610064
2. 昆明师专数学系,昆明,650031
3. 大理学院数学系,大理,671000
摘    要:本文在Banach空间中引入和研究渐近非扩张映象及非扩张映象的某些类型的迭代序列的收敛性,其结果改进和推广了最新的一些结果,

关 键 词:渐近非扩张映象  非扩张映象  不动点  迭代逼近
文章编号:0583-1431(2003)04-0665-08
修稿时间:2001年10月18

Some Convergence Theorems for Asymptotically Nonexpansive Mappings in Banach Spaces
Shi Sheng ZHANG.Some Convergence Theorems for Asymptotically Nonexpansive Mappings in Banach Spaces[J].Acta Mathematica Sinica,2003,46(4):665-672.
Authors:Shi Sheng ZHANG
Institution:Shi Sheng ZHANG (Department of Mathematics, Yibin University, Yibin 644007, P. R. China) (Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China) Yu Guang XU (Department of Mathematics, Kunming Teacher's College, Kunming 650031, P. H. China) Chang HE (Department of Mathematics, Dali University, Dali 671000, P. R. China)
Abstract:In this paper, we first introduce some iterative processes for asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces and then we discuss the strong convergence for the iterative processes. The results presented in this paper extend, supplement and improve the recent results.
Keywords:Asymptotically nonexpansive mapping  Nonexpansive mapping  Fixed point  Iterative approximation
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