ITERATIVE METHODS FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES

被引：3

作者：

Yao, Yonghong ^{[2
]}

Liou, Yeong-Cheng ^{[3
]}

Shahzad, Naseer ^{[1
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[2] Tianjin Polytech Univ, Dept Math, Tianjin, Peoples R China

[3] Cheng Shiu Univ, Dept Informat Management, Kaohsiung, Taiwan

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2011年 / 32卷 / 05期

关键词：

Banach spaces; Fixed point; Nonexpansive mapping; Sunny nonexpansive mapping; COMMON FIXED-POINTS; VISCOSITY APPROXIMATION METHODS; STRONG-CONVERGENCE THEOREMS; FINITE FAMILY;

D O I：

10.1080/01630563.2010.532268

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we suggest and analyze two methods for finding fixed points of nonexpansive mappings in Banach spaces. We prove that the proposed methods converge strongly to a fixed point of nonexpansive mappings.

引用

页码：583 / 592

页数：10

共 50 条

[1] The general iterative methods for nonexpansive mappings in Banach spaces
Wangkeeree, Rattanaporn
Petrot, Narin
Wangkeeree, Rabian
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2011, 51 (01) : 27 - 46
[2] The general iterative methods for nonexpansive mappings in Banach spaces
Rattanaporn Wangkeeree
Narin Petrot
Rabian Wangkeeree
[J]. Journal of Global Optimization, 2011, 51 : 27 - 46
[3] On stationary and nonstationary iterative methods for nonexpansive type mappings in Banach spaces
Rahul Shukla
Rajendra Pant
Adrian Petruşel
[J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
[4] On stationary and nonstationary iterative methods for nonexpansive type mappings in Banach spaces
Shukla, Rahul
Pant, Rajendra
Petrusel, Adrian
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (03)
[5] A GENERAL ITERATIVE ALGORITHM FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES
Ali, Bashir
Ugwunnadi, Godwin C.
Shehu, Yekini
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2011, 2 (02) : 10 - 21
[6] Block Iterative Methods for a Finite Family of Relatively Nonexpansive Mappings in Banach Spaces
Fumiaki Kohsaka
Wataru Takahashi
[J]. Fixed Point Theory and Applications, 2007
[7] Block iterative methods for a finite family of relatively nonexpansive mappings in Banach spaces
Kohsaka, Fumiaki
Takahashi, Wataru
[J]. FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
[8] New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces
Kamonrat Nammanee
Rabian Wangkeeree
[J]. Fixed Point Theory and Applications, 2011
[9] New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces
Nammanee, Kamonrat
Wangkeeree, Rabian
[J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
[10] Block iterative methods for a finite family of generalized nonexpansive mappings in Banach spaces
Ibaraki, Takanori
Takahashi, Wataru
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (3-4) : 362 - 375

← 1 2 3 4 5 →