Iterative approximation for a zero of accretive operator and fixed points problems in Banach space

被引：11

作者：

He, Xin-feng ^{[1
]}

Xu, Yong-chun ^{[2
]}

He, Zhen ^{[1
]}

机构：

[1] Hebei Univ, Coll Math & Comp, Baoding 071002, Peoples R China

[2] Hebei N Coll, Dept Math, Zhangjiakou 075000, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Accretive operators; Weakly continuous duality mapping; Reflexive Banach space; The resolvent operator; STRONG-CONVERGENCE; FAMILY;

D O I：

10.1016/j.amc.2010.11.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduced an iteration scheme for viscosity approximation for a zero of accretive operator and fixed points problems in a reflexive Banach space with weakly continuous duality mapping. A new iterative sequence is introduced and strong convergence of the algorithm x(n) is proved. The results improve and extend the results of Hu and Liu [L. Hu and L. Liu, A new iterative algorithm for common solutions of a finite family of accretive operators, Nonlinear Anal. 70 (2009) 2344-2351] and some others. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：4620 / 4626

页数：7

共 16 条

[1]

ALBER Y, 1998, COMM APPL NONLINEAR, V5, P45

[2]

Alber YaI., 1997, New results in Operator Theory and its Applications, P7

[3]

BROWDER FE, 1967, ARCH RATION MECH AN, V24, P82

[4]

Bruck R. E., 1977, Houston J. Math., V3, P459

[5]

BRUCK RE, 1979, NONLINEAR ANAL, V3, P279, DOI DOI 10.1016/0362-546X(79)90083-X

[6] Strong convergence of composite iterative schemes for zeros of m-accretive operators in Banach spaces [J].

Ceng, L. -C. ;

Khan, A. R. ;

Ansari, Q. H. ;

Yao, J. -C. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (05) :1830-1840

[7] Iterative approximation of a zero of accretive operator in Banach space [J].

Chen, Rudong ;

Liu, Yujun ;

Shen, Xilin .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E346-E350

[8]

Goebel K., 1984, HYPERBOLIC GEOMETRY

[9]

Goebel K., 1990, Topics in Metric Fixed Point Theory, Cambridge Studies in Advanced Mathematics, V28

[10] A new iterative algorithm for common solutions of a finite family of accretive operators [J].

Hu, Lianggen ;

Liu, Liwei .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (06) :2344-2351

← 1 2 →