Strong convergence theorems for common solutions of a family of nonexpansive mappings and an accretive operator

被引：2

作者：

Cheng, Peng ^{[1
]}

Wu, Huilian ^{[2
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China

[2] Hebei Univ Engn, Coll Sci, Handan 056038, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

accretive operator; iterative scheme; fixed point; nonexpansive mapping; strong convergence; FIXED-POINT PROBLEMS; HYBRID PROJECTION METHODS; EQUILIBRIUM PROBLEMS; VARIATIONAL-INEQUALITIES; ITERATIVE PROCESS; APPROXIMATION; SEMIGROUPS;

D O I：

10.1186/1687-1812-2013-172

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, common solutions of a family of nonexpansive mappings and an accretive operator are investigated based on a viscosity iterative method. Strong convergence theorems for common solutions are established in a Banach space. MSC: 47H09, 47J05.

引用

页数：14

共 50 条

[1] Strong convergence theorems for common solutions of a family of nonexpansive mappings and an accretive operator
Peng Cheng
Huilian Wu
Fixed Point Theory and Applications, 2013
[2] Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings
Meijuan Shang
Yongfu Su
Xiaolong Qin
Fixed Point Theory and Applications, 2007
[3] Strong convergence theorems for a finite family of nonexpansive mappings
Shang, Meijuan
Su, Yongfu
Qin, Xiaolong
FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
[4] STRONG CONVERGENCE THEOREMS FOR RESOLVENTS OF ACCRETIVE OPERATORS AND NONEXPANSIVE MAPPINGS IN BANACH SPACES
Jung, Jong Soo
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (01) : 31 - 47
[5] Strong convergence theorems for a common zero of a finite family of m-accretive mappings
Zegeye, Habtu
Shahzad, Naseer
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (05) : 1161 - 1169
[6] STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE AND ACCRETIVE OPERATORS
Kutbi, M. A.
Latif, A.
Qin, X.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (02) : 307 - 317
[7] Strong Convergence Theorems of Common Fixed Points for a Family of Quasi-φ-Nonexpansive Mappings
Qin, Xiaolong
Cho, Yeol Je
Cho, Sun Young
Kang, Shin Min
FIXED POINT THEORY AND APPLICATIONS, 2010,
[8] Strong Convergence Theorems for Common Fixed Points of an Infinite Family of Asymptotically Nonexpansive Mappings
Wang, Yuanheng
ABSTRACT AND APPLIED ANALYSIS, 2014,
[9] Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings with Their Applications
Zhou, Haiyun
Cho, Yeol Je
Wei, Li
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2007, 12 (D07): : 123 - 134
[10] Strong convergence theorems for a common zero of a countably infinite family of α-inverse strongly accretive mappings
Zegeye, Habtu
Shahzad, Naseer
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 531 - 538

← 1 2 3 4 5 →