Proximal methods for equilibrium problem in Hilbert spaces

被引:0
|
作者
Yang, Li [1 ]
Liu, Jing-Ai [2 ]
Tian, You-Xian [3 ]
机构
[1] SW Univ Sci & Technol, Dept Math, Mianyang 621010, Sichuan, Peoples R China
[2] Beijing Inst Petrochem Technol, Coll Nat Sci, Dept Math, Beijing 102617, Peoples R China
[3] Chongqing Posts Telecommun Univ, Coll Nat Sci, Dept Math, Chongqing 400065, Peoples R China
关键词
viscosity approximation method; equilibrium problem; fixed point; nonexpansive mapping;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An approximate procedure for solving equilibrium problems is proposed and its convergence is established under suitable conditions.
引用
收藏
页码:253 / 263
页数:11
相关论文
共 50 条
  • [1] On the convergence of splitting proximal methods for equilibrium problems in Hilbert spaces
    Moudafi, Abdellatif
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (02) : 508 - 513
  • [2] APPROXIMATION METHODS OF SOLUTIONS FOR EQUILIBRIUM PROBLEM IN HILBERT SPACES
    Chang, Shih-Sen
    Cho, Yeol Je
    Kim, Jong Kyu
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2008, 17 (3-4): : 503 - 513
  • [3] Parallel Hybrid Extragradient-Proximal Methods for Split Equilibrium Problems in Hilbert Spaces
    Kitisak, Ponkamon
    Peeyada, Pronpat
    Tewalok, Natthakan
    Choiban, Yollada
    Chaiwong, Siriluck
    Cholamjiak, Watcharaporn
    [J]. THAI JOURNAL OF MATHEMATICS, 2021, 19 (03): : 942 - 956
  • [4] 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
  • [5] On the proximal point method for equilibrium problems in Hilbert spaces
    Iusem, Alfredo N.
    Sosa, Wilfredo
    [J]. OPTIMIZATION, 2010, 59 (08) : 1259 - 1274
  • [6] Inexact proximal Newton methods in Hilbert spaces
    Poetzl, Bastian
    Schiela, Anton
    Jaap, Patrick
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2024, 87 (01) : 1 - 37
  • [7] Inexact proximal Newton methods in Hilbert spaces
    Bastian Pötzl
    Anton Schiela
    Patrick Jaap
    [J]. Computational Optimization and Applications, 2024, 87 : 1 - 37
  • [8] Projected viscosity subgradient methods for variational inequalities with equilibrium problem constraints in Hilbert spaces
    Phan Tu Vuong
    Jean Jacques Strodiot
    Van Hien Nguyen
    [J]. Journal of Global Optimization, 2014, 59 : 173 - 190
  • [9] Projected viscosity subgradient methods for variational inequalities with equilibrium problem constraints in Hilbert spaces
    Phan Tu Vuong
    Strodiot, Jean Jacques
    Van Hien Nguyen
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2014, 59 (01) : 173 - 190
  • [10] 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):