An Iterative Method for an Infinite Family of Nonexpansive Mappings in Hilbert Spaces

被引：0

作者：

Qin, Xiaolong ^{[1
,2
]}

Cho, Yeol Je ^{[2
,3
]}

Kang, Shin Min ^{[1
,2
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju 660701, South Korea

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2009年 / 32卷 / 02期

关键词：

Non-expansive mapping; Hilbert space; strong convergence; fixed point; FIXED-POINT PROBLEMS; STRONG-CONVERGENCE; BANACH-SPACES; FINITE FAMILY; APPROXIMATION; OPERATORS; THEOREMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce an iterative method for an infinite family of nonexpansive mappings in the framework of Hilbert spaces. Our results improve and extend the corresponding results announced by many others.

引用

页码：161 / 171

页数：11

共 50 条

[1] New Hybrid Iterative Schemes for an Infinite Family of Nonexpansive Mappings in Hilbert Spaces
Baohua Guo
Shenghua Wang
[J]. Fixed Point Theory and Applications, 2010
[2] New Hybrid Iterative Schemes for an Infinite Family of Nonexpansive Mappings in Hilbert Spaces
Guo, Baohua
Wang, Shenghua
[J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
[3] An Iterative Approximation Method for a Countable Family of Nonexpansive Mappings in Hilbert Spaces
Wangkeeree, Rabian
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2009, 32 (03) : 313 - 326
[4] A general iterative method for nonexpansive mappings in Hilbert spaces
Marino, G
Xu, HK
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 318 (01) : 43 - 52
[5] A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces
Urailuk Singthong
Suthep Suantai
[J]. Fixed Point Theory and Applications, 2010
[6] A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces
Singthong, Urailuk
Suantai, Suthep
[J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
[7] A general iterative method for an infinite family of nonexpansive mappings
Yao, Yonghong
Liou, Yeong-Cheng
Chen, Rudong
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (5-6) : 1644 - 1654
[8] Convergence of a general iterative method for nonexpansive mappings in Hilbert spaces
Cho, Yeol Je
Qin, Xiaolong
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 228 (01) : 458 - 465
[9] A general iterative algorithm for an infinite family of nonexpansive operators in Hilbert spaces
Cuijie Zhang
Songnian He
[J]. Fixed Point Theory and Applications, 2013
[10] A General Iterative Method for Solving the Variational Inequality Problem and Fixed Point Problem of an Infinite Family of Nonexpansive Mappings in Hilbert Spaces
Rabian Wangkeeree
Uthai Kamraksa
[J]. Fixed Point Theory and Applications, 2009

← 1 2 3 4 5 →