Strong convergence theorems of modified Mann iterative process for strict pseudo-contractions in Hilbert spaces

被引：25

作者：

Qin, Xiaolong ^{[1
,2
,3
]}

Shang, Meijuan ^{[4
]}

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

机构：

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

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

[3] Henan Univ, Coll Math & Informat Sci, Kaifeng 475001, Peoples R China

[4] Shijiazhuang Univ, Dept Math, Shijiazhuang 050035, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 03期

关键词：

Nonexpansive mapping; Hilbert space; Iterative algorithm; Fixed point; NONEXPANSIVE-MAPPINGS; FIXED-POINTS; NONLINEAR MAPPINGS; APPROXIMATION; WEAK;

D O I：

10.1016/j.na.2008.02.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we modify the normal Mann's iterative process to have strong convergence for a k-strictly pseudo-contractive non-self mapping in the framework of Hilbert spaces. Our results improve and extend the corresponding results announced by many others. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1257 / 1264

页数：8

共 50 条

[1] Strong convergence theorems for strict pseudo-contractions in Hilbert spaces
Yao Y.
Chen R.
[J]. Journal of Applied Mathematics and Computing, 2010, 32 (1) : 69 - 82
[2] STRONG CONVERGENCE OF GENERAL MODIFIED MANN ITERATIONS FOR STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACES
Tian, Ming
[J]. FIXED POINT THEORY, 2012, 13 (02): : 651 - 658
[3] Strong convergence of the modified Mann iterative method for strict pseudo-contractions
Marino, Giuseppe
Colao, Vittorio
Qin, Xiaolong
Kang, Shin Min
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (03) : 455 - 465
[4] Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
Marino, Giuseppe
Xu, Hong-Kun
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (01) : 336 - 346
[5] Strong convergence theorems of k-strict pseudo-contractions in Hilbert spaces
Xiaolong Qin
Shin Min Kang
Meijuan Shang
[J]. Czechoslovak Mathematical Journal, 2009, 59 : 695 - 706
[6] STRONG CONVERGENCE THEOREMS OF k-STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACES
Qin, Xiaolong
Kang, Shin Min
Shang, Meijuan
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2009, 59 (03) : 695 - 706
[7] Strong convergence of the new modified composite iterative method for strict pseudo-contractions in Hilbert spaces
He, Zhenhua
[J]. NOTE DI MATEMATICA, 2011, 31 (02): : 67 - 78
[8] Strong convergence theorem for strict pseudo-contractions in Hilbert spaces
Marino, Giuseppe
Scardamaglia, Bruno
Karapinar, Erdal
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[9] Strong convergence theorem for strict pseudo-contractions in Hilbert spaces
Giuseppe Marino
Bruno Scardamaglia
Erdal Karapinar
[J]. Journal of Inequalities and Applications, 2016
[10] Convergence theorems of fixed points for κ-strict pseudo-contractions in Hilbert spaces
Zhou, Haiyun
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (02) : 456 - 462

← 1 2 3 4 5 →