Weak and strong convergence theorems for common zeros of accretive operators

被引：2

作者：

Wang, Shenghua ^{[1
]}

Li, Tian ^{[1
]}

机构：

[1] North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

accretive operator; convergence; resolvent; proximal point algorithm; zero point; FIXED-POINT THEOREMS; MAPPINGS; SEQUENCES; ERRORS;

D O I：

10.1186/1029-242X-2014-282

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose two proximal point algorithms for investigating common zeros of a family of accretive operators. Weak and strong convergence of the two algorithms are obtained in a Banach space.

引用

页码：1 / 10

页数：10

共 50 条

[31] Convergence theorems for φ-strongly accretive and φ-hemicontractive operators
Liu, ZQ
Kang, SM
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 253 (01) : 35 - 49
[32] 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
[33] Strong convergence theorems for common solutions of a family of nonexpansive mappings and an accretive operator
Cheng, Peng
Wu, Huilian
FIXED POINT THEORY AND APPLICATIONS, 2013,
[34] Convergence theorems for multivalued Φ-hemicontractive operators and Φ-strongly accretive operators
Hirano, N
Huang, ZY
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 46 (10-11) : 1461 - 1471
[35] STRONG-CONVERGENCE THEOREMS FOR RESOLVENTS OF ACCRETIVE-OPERATORS IN BANACH-SPACES
REICH, S
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 75 (01) : 287 - 292
[36] Weak convergence of an iterative algorithm for accretive operators
Zhao, Hengjun
Cho, Sun Young
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (08): : 4099 - 4108
[37] Strong convergence of composite iterative schemes for zeros of m-accretive operators in Banach spaces
Ceng, L. -C.
Khan, A. R.
Ansari, Q. H.
Yao, J. -C.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (05) : 1830 - 1840
[38] 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
[39] ZEROS OF ACCRETIVE OPERATORS
DEIMLING, K
MANUSCRIPTA MATHEMATICA, 1974, 13 (04) : 365 - 374
[40] Convergence of composite iterative methods for finding zeros of accretive operators
Jung, Jong Soo
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1736 - 1746

← 1 2 3 4 5 →