AN ITERATIVE METHOD FOR GENERALIZED VARIATIONAL INEQUALITIES WITH APPLICATIONS

被引：0
作者：
Wu, Changqun [1 ]
Cho, Sun Young [2 ]
机构：
[1] Henan Univ, Sch Business & Adm, Kaifeng 475001, Peoples R China
[2] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
来源：
FIXED POINT THEORY | 2011年 / 12卷 / 02期
关键词：
Sunny nonexpansive retraction; fixed point; nonexpansive mapping; variational inequality; STRONG-CONVERGENCE THEOREMS; FIXED-POINT PROBLEMS; NONEXPANSIVE-MAPPINGS; ACCRETIVE-OPERATORS; EQUILIBRIUM PROBLEMS; WEAK-CONVERGENCE; ALGORITHM; SYSTEMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a composite iterative process for an inverse-strongly accretive mapping and a nonexpansive mapping. We study the convergence analysis of the iterative algorithm. Strong convergence theorems are established in a real Banach space.
引用
收藏
页码：497 / 508
页数：12
相关论文
共 22 条
[1]  
[Anonymous], 1976, P S PURE MATH
[2]   Weak convergence of an iterative sequence for accretive operators in Banach spaces [J].
Aoyama, Koji ;
Iiduka, Hideaki ;
Takahashi, Wataru .
FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)
[3]   FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE [J].
BROWDER, FE .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1965, 53 (06) :1272-&
[4]   CONSTRUCTION OF FIXED POINTS OF NONLINEAR MAPPINGS IN HILBERT SPACE [J].
BROWDER, FE ;
PETRYSHY.WV .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 20 (02) :197-&
[5]   PROPERTIES OF FIXED-POINT SETS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES [J].
BRUCK, RE .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 179 (MAY) :251-262
[6]   An extragradient-like approximation method for variational inequality problems and fixed point problems [J].
Ceng, Lu-Chuan ;
Yao, Jen-Chih .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (01) :205-215
[7]   On systems of generalized nonlinear variational inequalities in Banach spaces [J].
Cho, Yeol Je ;
Kang, Shin Min ;
Qin, Xiaolong .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) :214-220
[8]  
Cho YJ, 2008, J COMPUT ANAL APPL, V10, P113
[9]   Systems of generalized nonlinear variational inequalities and its projection methods [J].
Cho, Yeol Je ;
Qin, Xiaolong .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (12) :4443-4451
[10]   Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings [J].
Iiduka, H ;
Takahashi, W .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (03) :341-350
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