Inertial Extragradient Algorithms for Solving Equilibrium Problems

被引:0
|
作者
Nguyen The Vinh
Le Dung Muu
机构
[1] University of Transport and Communications,Department of Mathematics
[2] Thang Long University,TIMAS
[3] Institute of Mathematics,undefined
[4] VAST,undefined
来源
关键词
Inertial method; Extragradient algorithm; Variational inequality; Equilibrium problem; Pseudomonotone; Lipschitz-type inequality; 47H10; 47J25; 47N10; 90C25;
D O I
暂无
中图分类号
学科分类号
摘要
We introduce two new algorithms based upon the extragradient and inertial methods for solving pseudomonotone equilibrium problems in real Hilbert spaces. Strong converge and weak convergence of the proposed algorithms are established under some mild assumptions. Numerical results show that the proposed algorithms are more efficient than some existing methods for equilibrium problems.
引用
收藏
页码:639 / 663
页数:24
相关论文
共 50 条
  • [31] A new class of hybrid extragradient algorithms for solving quasi-equilibrium problems
    Jean Jacques Strodiot
    Thi Thu Van Nguyen
    Van Hien Nguyen
    Journal of Global Optimization, 2013, 56 : 373 - 397
  • [32] STRONG CONVERGENCE OF INERTIAL EXTRAGRADIENT ALGORITHMS FOR SOLVING VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS
    Tan, B.
    Liu, L.
    Qin, X.
    FIXED POINT THEORY, 2022, 23 (02): : 707 - 727
  • [33] MODIFIED INERTIAL SUBGRADIENT EXTRAGRADIENT ALGORITHMS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS WITH THE CONSTRAINT OF NONEXPANSIVE MAPPINGS
    Ceng, Lu-Chuan
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2021, 5 (02): : 281 - 297
  • [34] Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
    Duong Viet Thong
    Dang Van Hieu
    Rassias, Themistocles M.
    OPTIMIZATION LETTERS, 2020, 14 (01) : 115 - 144
  • [35] Fast inertial extragradient algorithms for solving non-Lipschitzian equilibrium problems without monotonicity condition in real Hilbert spaces
    Deng, Lanmei
    Hu, Rong
    Fang, Ya-Ping
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 423
  • [36] Inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and fixed point problems in Hilbert spaces
    Xie, Zhongbing
    Cai, Gang
    Tan, Bing
    OPTIMIZATION, 2024, 73 (05) : 1329 - 1354
  • [37] Viscosity-type inertial extragradient algorithms for solving variational inequality problems and fixed point problems
    Tan, Bing
    Zhou, Zheng
    Li, Songxiao
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (02) : 1387 - 1411
  • [38] Viscosity-type inertial extragradient algorithms for solving variational inequality problems and fixed point problems
    Bing Tan
    Zheng Zhou
    Songxiao Li
    Journal of Applied Mathematics and Computing, 2022, 68 : 1387 - 1411
  • [39] A FAMILY OF EXTRAGRADIENT METHODS FOR SOLVING EQUILIBRIUM PROBLEMS
    Thi Phuong Dong Nguyen
    Jean Jacques Strodiot
    Thi Thu Van Nguyen
    Van Hien Nguyen
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2015, 11 (02) : 619 - 630
  • [40] Modified inertial subgradient extragradient method for equilibrium problems
    Jolaoso, Lateef Olakunle
    Shehu, Yekini
    Nwokoye, Regina N.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (02) : 599 - 616