Projection algorithms for the system of generalized mixed variational inequalities in Banach spaces

被引：1
|
作者：
Zhang, Qing-bang [1 ]
Deng, Ru-liang [1 ]
机构：
[1] SW Univ Finance & Econ, Coll Econ Math, Chengdu 610074, Sichuan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 19期
关键词：
System of generalized mixed variational inequalities; Generalized f-projection operator; Iterative algorithm; Convergence; EXISTENCE; OPERATOR;
D O I：
10.1016/j.amc.2011.02.074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some projection algorithms are suggested for solving the system of generalized mixed variational inequalities, and the convergence of the proposed iterative methods are proved without any monotonicity assumption for the mappings in Banach spaces. Our theorems generalize some known results. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：7718 / 7724
页数：7
相关论文
共 50 条
  • [31] Single Bregman projection method for solving variational inequalities in reflexive Banach spaces
    Jolaoso, Lateef O.
    Shehu, Yekini
    APPLICABLE ANALYSIS, 2022, 101 (14) : 4807 - 4828
  • [32] ITERATIVE ALGORITHMS FOR GENERALIZED VARIATIONAL INEQUALITIES
    Yao, Yonghong
    Postolache, Mihai
    Yao, Jen-Chih
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (02): : 3 - 16
  • [33] ITERATIVE METHODS FOR SOLVING SYSTEMS OF VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES
    Kassay, Gabor
    Reich, Simeon
    Sabach, Shoham
    SIAM JOURNAL ON OPTIMIZATION, 2011, 21 (04) : 1319 - 1344
  • [34] A PROJECTION-TYPE ALGORITHM FOR SOLVING GENERALIZED MIXED VARIATIONAL INEQUALITIES
    Tu, Kai
    Xia, Fuquan
    ACTA MATHEMATICA SCIENTIA, 2016, 36 (06) : 1619 - 1630
  • [35] A Generalized Hybrid Steepest-Descent Method for Variational Inequalities in Banach Spaces
    Sahu, D. R.
    Wong, N. C.
    Yao, J. C.
    FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [36] STRICT FEASIBILITY FOR GENERALIZED MIXED VARIATIONAL INEQUALITY IN REFLEXIVE BANACH SPACES
    Zhong, Ren-You
    Huang, Nan-Jing
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2011, 1 (02): : 261 - 274
  • [37] On a generalized system for relaxed cocoercive variational inequalities and projection methods
    Yang, Q. Z.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 130 (03) : 545 - 547
  • [38] On a Generalized System for Relaxed Cocoercive Variational Inequalities and Projection Methods
    Q. Z. Yang
    Journal of Optimization Theory and Applications, 2006, 130 : 547 - 549
  • [39] A CLASS OF MIXED VARIATIONAL-LIKE INEQUALITIES AND EQUILIBRIUM PROBLEMS IN BANACH SPACES
    Pany, Gayatri
    Mohapatra, R. N.
    Pani, Sabyasachi
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2016, 7 (04): : 241 - 252
  • [40] On variational-hemivariational inequalities in Banach spaces
    Han, Weimin
    Nashed, M. Z.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 124
12345