Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space

被引：0
|
作者：
Suwannaut, Sarawut [1 ]
机构：
[1] Lampang Rajabhat Univ, Fac Sci, Dept Math, Lampang 52100, Thailand
来源：
JOURNAL OF MATHEMATICS | 2024年 / 2024卷
关键词：
FIXED-POINT PROBLEMS; CONVERGENCE THEOREMS; EQUILIBRIUM PROBLEMS; WEAK-CONVERGENCE; ITERATION;
D O I：
10.1155/2024/7793048
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this research, the modified subgradient extragradient method and K-mapping generated by a finite family of finite Lipschitzian demicontractions are introduced. Then, a strong convergence theorem for finding a common element of the common fixed point set of finite Lipschitzian demicontraction mappings and the common solution set of variational inequality problems is established. Furthermore, numerical examples are given to support the main theorem.
引用
收藏
页数：17
相关论文
共 50 条
  • [21] A new double inertial subgradient extragradient method for solving a non-monotone variational inequality problem in Hilbert space
    Zhu, Ziqi
    Zheng, Kaiye
    Wang, Shenghua
    AIMS MATHEMATICS, 2024, 9 (08): : 20956 - 20975
  • [22] Inertial subgradient extragradient with projection method for solving variational inequality and fixed point problems
    Maluleka, Rose
    Ugwunnadi, Godwin Chidi
    Aphane, Maggie
    AIMS MATHEMATICS, 2023, 8 (12): : 30102 - 30119
  • [23] Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces
    Peng, Zai-Yun
    Peng, Zhi-Ying
    Cai, Gang
    Li, Gao-Xi
    APPLICABLE ANALYSIS, 2024, 103 (10) : 1769 - 1789
  • [24] A NEW DOUBLE INERTIAL SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING QUASIMONOTONE VARIATIONAL INEQUALITY PROBLEMS
    George, R.
    Ofem, A. E.
    Mebawondu, A. A.
    Akutsah, F.
    Alshammari, F.
    Narain, O. K.
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2025, 21 (03) : 2074 - 2090
  • [25] Strong convergence of inertial subgradient extragradient method for solving variational inequality in Banach space
    Khan, A. R.
    Ugwunnadi, G. C.
    Makukula, Z. G.
    Abbas, M.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2019, 35 (03) : 327 - 338
  • [26] Modified Inertial Subgradient Extragradient Method with Regularization for Variational Inequality and Null Point Problems
    Song, Yanlai
    Bazighifan, Omar
    MATHEMATICS, 2022, 10 (14)
  • [27] A modified subgradient extragradient method for solving the variational inequality problem
    Qiao-Li Dong
    Dan Jiang
    Aviv Gibali
    Numerical Algorithms, 2018, 79 : 927 - 940
  • [28] A modified subgradient extragradient method for solving the variational inequality problem
    Dong, Qiao-Li
    Jiang, Dan
    Gibali, Aviv
    NUMERICAL ALGORITHMS, 2018, 79 (03) : 927 - 940
  • [29] The subgradient extragradient method extended to pseudomonotone equilibrium problems and fixed point problems in Hilbert space
    Jun Yang
    Hongwei Liu
    Optimization Letters, 2020, 14 : 1803 - 1816
  • [30] The subgradient extragradient method extended to pseudomonotone equilibrium problems and fixed point problems in Hilbert space
    Yang, Jun
    Liu, Hongwei
    OPTIMIZATION LETTERS, 2020, 14 (07) : 1803 - 1816
12345