Generalized system for relaxed cocoercive mixed variational inequalities in Hilbert spaces

被引:21
作者
He, Zhenhua [1 ]
Gu, Feng [2 ]
机构
[1] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China
[2] Hangzhou Normal Univ, Dept Math, Inst Appl Math, Hangzhou 310036, Zhejiang, Peoples R China
关键词
Relaxed cocoercive mixed variational inequality; Resolvent method; Relaxed cocoercive mapping; Convergence of resolvent method;
D O I
10.1016/j.amc.2009.03.056
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The approximate solvability of a generalized system for relaxed cocoercive mixed variational inequality is studied by using the resolvent operator technique. The results presented in this paper are more general and include many previously known results as special cases. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:26 / 30
页数:5
相关论文
共 5 条
[1]   Three-steps iterative algorithms for mixed variational inequalities [J].
Bnouhachem, Abdellah ;
Noor, Muhammad Aslam ;
Rassias, Th M. .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (01) :436-446
[2]  
Brezis H., 1973, OPERATEURS MAXIMAUX
[3]   Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces [J].
Chang, S. S. ;
Lee, H. W. Joseph ;
Chan, C. K. .
APPLIED MATHEMATICS LETTERS, 2007, 20 (03) :329-334
[4]   An implicit method for mixed variational inequalities [J].
Noor, MA .
APPLIED MATHEMATICS LETTERS, 1998, 11 (04) :109-113
[5]   General convergence analysis for two-step projection methods and applications to variational problems [J].
Verma, RU .
APPLIED MATHEMATICS LETTERS, 2005, 18 (11) :1286-1292