Parallel Hybrid Extragradient-Proximal Methods for Split Equilibrium Problems in Hilbert Spaces

被引:0
|
作者
Kitisak, Ponkamon [1 ]
Peeyada, Pronpat [1 ]
Tewalok, Natthakan [1 ]
Choiban, Yollada [1 ]
Chaiwong, Siriluck [1 ]
Cholamjiak, Watcharaporn [1 ]
机构
[1] Univ Phayao, Sch Sci, Phayao 56000, Thailand
来源
THAI JOURNAL OF MATHEMATICS | 2021年 / 19卷 / 03期
关键词
extragradient-proximal method; split equilibrium problem; strong convergence; Hilbert space; CONVERGENCE ANALYSIS; ALGORITHMS; RECONSTRUCTION; PROJECTION;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce two different parallel hybrid extragradient-proximal methods for solving split equilibrium problems in Hilbert spaces. The algorithms combine the extragradient method, the proximal method and the hybrid projection method. The strong convergence theorems for iterative sequences generated by the algorithms are established under widely used assumptions for equilibrium bifunctions in Hilbert spaces.
引用
收藏
页码:942 / 956
页数:15
相关论文
共 50 条
  • [1] Extragradient-Proximal Methods for Split Equilibrium and Fixed Point Problems in Hilbert Spaces
    Van Dinh B.
    Son D.X.
    Anh T.V.
    [J]. Vietnam Journal of Mathematics, 2017, 45 (4) : 651 - 668
  • [2] Parallel Extragradient-Proximal Methods for Split Equilibrium Problems
    Dang Van Hieu
    [J]. MATHEMATICAL MODELLING AND ANALYSIS, 2016, 21 (04) : 478 - 501
  • [3] Parallel extragradient algorithms for multiple set split equilibrium problems in Hilbert spaces
    Do Sang Kim
    Bui Van Dinh
    [J]. Numerical Algorithms, 2018, 77 : 741 - 761
  • [4] Parallel extragradient algorithms for multiple set split equilibrium problems in Hilbert spaces
    Kim, Do Sang
    Dinh, Bui Van
    [J]. NUMERICAL ALGORITHMS, 2018, 77 (03) : 741 - 761
  • [5] Extragradient and linesearch methods for solving split feasibility problems in Hilbert spaces
    Jouymandi, Zeynab
    Moradlou, Fridoun
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (12) : 4343 - 4359
  • [6] EXTRAGRADIENT ALGORITHMS FOR SPLIT PSEUDOMONOTONE EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS IN HILBERT SPACES
    Wang, Shenghua
    Zhang, Yifan
    Wang, Wenxin
    Guo, Haichao
    [J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2019, 2019
  • [7] Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications
    Rehman, Habib ur
    Kumam, Poom
    Argyros, Ioannis K.
    Alreshidi, Nasser Aedh
    [J]. Computational and Applied Mathematics, 2021, 40 (02)
  • [8] Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications
    Rehman, Habib Ur
    Kumam, Poom
    Argyros, Ioannis K.
    Alreshidi, Nasser Aedh
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (02):
  • [9] Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications
    Habib ur Rehman
    Poom Kumam
    Ioannis K. Argyros
    Nasser Aedh Alreshidi
    [J]. Computational and Applied Mathematics, 2021, 40
  • [10] Extragradient methods for split feasibility problems and generalized equilibrium problems in Banach spaces
    Jouymandi, Zeynab
    Moradlou, Fridoun
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (02) : 826 - 838