应用泛函分析学报2007，Vol.9Issue(2)：106-111,6.
有限个严格压缩映像隐迭代格式的逼近
Convergence Theorems of an Implicit Iteration for a Finite Family of Strictly Pseudo-contractive Mappings
摘要
Abstract
Suppose E is a uniformly convex Banach space and its dual space E* has Kadec-Klee property.Let K be a nonempty closed convex subset of E and Ti:K→K(i =1,2,…,N)be strictly pseudo-contractive mappings in the terminology of Browder-Petryshyn such that F=N∩i=1F(Ti)≠(),and let {αn}∞n=1be a sequence satisfying the conditions0＜a≤an≤b＜1.Define mappings Si=(1-())I+()Ti(i=1,2,…N),where I denotes the identity mapping.Let x0 ∈K and {xn} be defined byxn = αnxn-1 + (1-αn)Snxn,n≥1, where Sn=Sn(modN).Then {xn} converges weakly to a common fixed point of mappings {Si}Ni=1.关键词
隐迭代格式/严格伪压缩映像/一致凸Banach空间/公共不动点/弱收敛Key words
Implicit iteration/strictly pseudo-contractive mappings/uniformly convex Banach space/weak convergence分类
数理科学引用本文复制引用
筵丽霞,周海云..有限个严格压缩映像隐迭代格式的逼近[J].应用泛函分析学报,2007,9(2):106-111,6.基金项目
Supported by National Natural Science Foundation of China Grant (10471033) （10471033）
