| 有限个严格压缩映像隐迭代格式的逼近 |
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| 引用本文： | 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. |
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| 作者姓名： | 筵丽霞 周海云 |
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| 作者单位： | 华北电力大学,应用数学专业,保定,0710003 |
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| 摘 要： | 假设E为一致凸的Banach空间,对偶空间E*有Kadec-Klee性质,K为E的非空闭凸子集{Ti:i=1,2,…,N}:K→K为Browder-Petryshyn意义下的严格伪压缩映像且F=∩Ni=1F(Ti)≠0.{αn}n∞=1满足0
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| 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 |
| 文章编号： | 1009-1327（2007）02-0106-06 |
| 修稿时间： | 2006-04-19 |
Convergence Theorems of an Implicit Iteration for a Finite Family of Strictly Pseudo-contractive Mappings |
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| YAN Li-xia,ZHOU Hai-yun.Convergence Theorems of an Implicit Iteration for a Finite Family of Strictly Pseudo-contractive Mappings[J].Acta Analysis Functionalis Applicata,2007,9(2):106-111. |
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| Authors: | YAN Li-xia ZHOU Hai-yun |
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| Institution: | Department of Mathematics, North China Electric Power University, Baoding 071003, China |
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| 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. |
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| Keywords: | Implicit iteration strictly pseudo-contractive mappings uniformly convex Banach space weak convergence |
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