Modified Mann-type Inertial Subgradient Extragradient Methods for Solving Variational Inequalities in Real Hilbert Spaces

被引：0
|
作者：
Shan, Zhuang [1 ]
Zhu, Lijun [2 ,3 ]
Wang, Yuanheng [4 ]
Yin, Tzu-Chien [5 ]
机构：
[1] North Minzu Univ, Coll Math & Informat Sci, Yinchuan 750021, Ningxia, Peoples R China
[2] North Minzu Univ, Key Lab Intelligent Informat & Big Data Proc Ning, Yinchuan 750021, Ningxia, Peoples R China
[3] North Minzu Univ, Hlth Big Data Res Inst, Yinchuan 750021, Ningxia, Peoples R China
[4] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China
[5] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40402, Taiwan
来源：
FILOMAT | 2022年 / 36卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Variational Inequality; Subgradient Extragradient Methods; Tseng's Methods; Monotone Operators; Accelerated technique; ITERATIVE ALGORITHMS; FIXED-POINTS; CONVERGENCE; OPERATORS; SYSTEMS;
D O I：
10.2298/FIL2205557S
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is to investigate the monotone variational inequalities (VIPs) in real Hilbert spaces. We constructed two iterative algorithms based on subgradient extragradient algorithms and Tseng's algorithms for solving VIPs. Convergence analysis of the suggested methods are proved. Several numerical examples to illustrate the efficiency of the methods are given.
引用
收藏
页码：1557 / 1572
页数：16
相关论文
共 50 条
  • [41] A MODIFIED INERTIAL SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND COMMON FIXED POINT PROBLEMS
    Ceng, L. C.
    Petrusel, A.
    Qin, X.
    Yao, J. C.
    [J]. FIXED POINT THEORY, 2020, 21 (01): : 93 - 108
  • [42] Self-adaptive subgradient extragradient-type methods for solving variational inequalities
    Beibei Ma
    Wanyu Wang
    [J]. Journal of Inequalities and Applications, 2022
  • [43] An Inertial Type Subgradient Extragradient Method for Common Fixed Point and Variational Inequalities Problems in Real
    Ali, B.
    Ajio, J. T.
    [J]. JOURNAL OF MATHEMATICAL EXTENSION, 2024, 18 (01)
  • [44] Mann-type extragradient algorithm for solving variational inequality and fixed point problems
    Singh, Watanjeet
    Chandok, Sumit
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (04):
  • [45] Three novel inertial subgradient extragradient methods for quasi-monotone variational inequalities in Banach spaces
    Wang, Zhong-bao
    Sunthrayuth, Pongsakorn
    Promkam, Ratthaprom
    Adamu, Abubakar
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (08):
  • [46] Mann-Type Inertial Accelerated Subgradient Extragradient Algorithm for Minimum-Norm Solution of Split Equilibrium Problems Induced by Fixed Point Problems in Hilbert Spaces
    Khonchaliew, Manatchanok
    Khamdam, Kunlanan
    Petrot, Narin
    [J]. SYMMETRY-BASEL, 2024, 16 (09):
  • [47] MODIFIED INERTIAL SUBGRADIENT EXTRAGRADIENT ALGORITHMS FOR VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS
    Wu, Danfeng
    Zhu, Li-Jun
    Shan, Zhuang
    Wei, Haicheng
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (01) : 97 - 106
  • [48] Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities
    Yang, Jun
    [J]. APPLICABLE ANALYSIS, 2021, 100 (05) : 1067 - 1078
  • [49] Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems
    Ceng, Lu-Chuan
    Yuan, Qing
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [50] Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems
    Lu-Chuan Ceng
    Qing Yuan
    [J]. Journal of Inequalities and Applications, 2019
12345