A new explicit iteration method for a class of variational inequalities

被引：0
|
作者：
Nguyen Buong
Nguyen Song Ha
Nguyen Thi Thu Thuy
机构：
[1] Institute of Information Technology,Vietnamese Academy of Science and Technology
[2] Thai Nguyen University,College of Sciences
来源：
Numerical Algorithms | 2016年 / 72卷
关键词：
Nonexpansive mapping; Fixed point; Variational inequality; 47J05; 47H09; 49J30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose a new simple explicit iterative algorithm to find a solution for variational inequalities over the set of common fixed points of an infinite family of nonexpansive mappings on real reflexive and strictly convex Banach spaces with a uniformly Gâteaux differentiable norm. Two numerical examples also are given for illustration.
引用
收藏
页码：467 / 481
页数：14
相关论文
共 50 条
  • [21] Solving a class of asymmetric variational inequalities by a new alternating direction method
    Wang, SL
    Yang, H
    He, BS
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 40 (8-9) : 927 - 937
  • [22] Stability of new implicit iteration procedures for a class of nonlinear set-valued mixed variational inequalities
    Fang, YP
    Deng, CX
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2004, 84 (01): : 53 - 59
  • [23] A Simpler Explicit Iterative Algorithm for a Class of Variational Inequalities in Hilbert Spaces
    Zhou, Haiyun
    Wang, Peiyuan
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2014, 161 (03) : 716 - 727
  • [24] A Simpler Explicit Iterative Algorithm for a Class of Variational Inequalities in Hilbert Spaces
    Haiyun Zhou
    Peiyuan Wang
    Journal of Optimization Theory and Applications, 2014, 161 : 716 - 727
  • [25] TRUNCATION METHOD FOR SOLUTION OF A CLASS OF VARIATIONAL INEQUALITIES
    BERGER, AE
    REVUE FRANCAISE D AUTOMATIQUE INFORMATIQUE RECHERCHE OPERATIONNELLE, 1976, 10 (03): : 29 - 42
  • [26] Penalty method for a class of differential variational inequalities
    Liu, Zhenhai
    Zeng, Shengda
    APPLICABLE ANALYSIS, 2021, 100 (07) : 1574 - 1589
  • [27] A NEW THREE-STEP ITERATION METHOD FOR alpha-NONEXPANSIVE MAPPINGS AND VARIATIONAL INEQUALITIES
    Ghasemzadehdibagi, Shahrokh
    Asadi, Mehdi
    Haghayeghi, Somayeh
    Khojasteh, Farshid
    JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 9 (03): : 38 - 46
  • [28] Explicit Extragradient-Like Method with Regularization for Variational Inequalities
    Dang Van Hieu
    Le Dung Muu
    Pham Kim Quy
    Le Van Vy
    Results in Mathematics, 2019, 74
  • [29] Explicit Extragradient-Like Method with Regularization for Variational Inequalities
    Dang Van Hieu
    Le Dung Muu
    Pham Kim Quy
    Le Van Vy
    RESULTS IN MATHEMATICS, 2019, 74 (04)
  • [30] Variational iteration method: New development and applications
    He, Ji-Huan
    Wu, Xu-Hong
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) : 881 - 894
12345