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
  • [1] A new explicit iteration method for a class of variational inequalities
    Nguyen Buong
    Nguyen Song Ha
    Nguyen Thi Thu Thuy
    NUMERICAL ALGORITHMS, 2016, 72 (02) : 467 - 481
  • [2] A New Simple Parallel Iteration Method for a Class of Variational Inequalities
    Ha N.S.S.
    Buong N.
    Thuy N.T.T.
    Acta Mathematica Vietnamica, 2018, 43 (2) : 239 - 255
  • [3] Explicit iteration methods for a class of variational inequalities in Banach spaces
    Buong N.
    Phuong N.T.H.
    Thuy N.T.T.
    Russian Mathematics, 2015, 59 (10) : 16 - 22
  • [4] A new explicit iteration method for variational inequalities on the set of common fixed points for a finite family of nonexpansive mappings
    Kim, Jong Kyu
    Nguyen Buong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [5] A new explicit iteration method for variational inequalities on the set of common fixed points for a finite family of nonexpansive mappings
    Jong Kyu Kim
    Nguyen Buong
    Journal of Inequalities and Applications, 2013
  • [6] A new method for a class of inverse variational inequalities
    Jiang, Zhikai
    ICIC Express Letters, 2010, 4 (01): : 255 - 261
  • [7] New method for a class of linear variational inequalities
    He, Bingsheng
    Mathematical Programming, Series B, 1994, 66 (02): : 137 - 144
  • [8] A new projection method for a class of variational inequalities
    Dang Van Hieu
    Duong Viet Thong
    APPLICABLE ANALYSIS, 2019, 98 (13) : 2423 - 2439
  • [9] Explicit Iteration Methods for Solving Variational Inequalities in Banach Spaces
    Pham Thanh Hieu
    Nguyen Thi Thu Thuy
    Strodiot, Jean Jacques
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (02) : 467 - 483
  • [10] Explicit Iteration Methods for Solving Variational Inequalities in Banach Spaces
    Pham Thanh Hieu
    Nguyen Thi Thu Thuy
    Jean Jacques Strodiot
    Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 467 - 483
12345