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

[21] Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings
Song, Yisheng
Chen, Rudong
APPLIED MATHEMATICS AND COMPUTATION, 2006, 180 (01) : 275 - 287
[22] Strong and weak convergence theorems for an infinite family of nonexpansive mappings and applications
Ceng, L. C.
Wong, N. C.
Yao, J. C.
FIXED POINT THEORY AND APPLICATIONS, 2012,
[23] STRONG CONVERGENCE THEOREMS FOR A FAMILY OF RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES
Aoyama, Koji
Takahashi, Wataru
FIXED POINT THEORY, 2007, 8 (02): : 143 - 160
[24] Strong and weak convergence theorems for an infinite family of nonexpansive mappings and applications
LC Ceng
NC Wong
JC Yao
Fixed Point Theory and Applications, 2012
[25] Strong Convergence Theorems for a Family of Quasi-φ-Asymptotically Nonexpansive Mappings
Xing Hui GAO 1
2.Department of Mathematics
Journal of Mathematical Research with Applications, 2011, (02) : 303 - 314
[26] Strong convergence theorems for equilibrium problems involving a family of nonexpansive mappings
Thanh, Do D.
FIXED POINT THEORY AND APPLICATIONS, 2014,
[27] Strong convergence theorems for equilibrium problems involving a family of nonexpansive mappings
Do D Thanh
Fixed Point Theory and Applications, 2014
[28] Weak convergence theorems for common solutions of a system of equilibrium problems and operator equations involving nonexpansive mappings
Cheng, Peng
Zhang, Anshen
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[29] Strong convergence of an iterative algorithm for accretive operators and nonexpansive mappings
Jung, Jong Soo
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2394 - 2409
[30] Weak convergence theorems for common solutions of a system of equilibrium problems and operator equations involving nonexpansive mappings
Peng Cheng
Anshen Zhang
Journal of Inequalities and Applications, 2013

← 1 2 3 4 5 →