ALTERNATED INERTIAL SUBGRADIENT EXTRAGRADIENT METHODS FOR SOLVING VARIATIONAL INEQUALITIES

被引：0
|
作者：
Zhou, Z. [1 ]
Tan, B. [2 ]
Cho, S. Y. [3 ]
机构：
[1] Sichuan Univ Sci & Engn, Coll Math & Stat, Zigong 643000, Peoples R China
[2] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 611731, Peoples R China
[3] Gyeongsang Natl Univ, Dept Human Hlth Care, Jinju Si, South Korea
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2022年 / 23卷 / 11期
关键词：
Pseudomonotone variational inequality; alternated inertial; subgradient extragradient method; adaptive stepsize; CONVERGENCE; SEQUENCE; WEAK;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of this paper is to study some iterative algorithms for solving a pseudomonotone variational inequality in Hilbert spaces. The iterative algorithms presented in this paper are based on the alternated inertial method and the subgradient extragradient method. Weak convergence of the algorithms is established by the adaptive stepsize criterion in Hilbert spaces.
引用
收藏
页码：2593 / 2604
页数：12
相关论文
共 50 条
  • [31] A Subgradient Extragradient Framework Incorporating a Relaxation and Dual Inertial Technique for Variational Inequalities
    Rehman, Habib ur
    Sitthithakerngkiet, Kanokwan
    Seangwattana, Thidaporn
    MATHEMATICS, 2025, 13 (01)
  • [32] Three novel inertial subgradient extragradient methods for quasi-monotone variational inequalities in Banach spaces
    Wang, Zhong-bao
    Sunthrayuth, Pongsakorn
    Promkam, Ratthaprom
    Adamu, Abubakar
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (08)
  • [33] A Relaxed Inertial Factor of the Modified Subgradient Extragradient Method for Solving Pseudo Monotone Variational Inequalities in Hilbert Spaces
    Duong Viet Thong
    Vu Tien Dung
    ACTA MATHEMATICA SCIENTIA, 2023, 43 (01) : 184 - 204
  • [34] A RELAXED INERTIAL FACTOR OF THE MODIFIED SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING PSEUDO MONOTONE VARIATIONAL INEQUALITIES IN HILBERT SPACES
    Duong Viet THONG
    Vu Tien DUNG
    Acta Mathematica Scientia, 2023, 43 (01) : 184 - 204
  • [35] An improved inertial extragradient subgradient method for solving split variational inequality problems
    Chibueze C. Okeke
    Boletín de la Sociedad Matemática Mexicana, 2022, 28
  • [36] Hybrid inertial subgradient extragradient methods for variational inequalities and fixed point problems involving asymptotically nonexpansive mappings
    Ceng, Lu-Chuan
    Shang, Meijuan
    OPTIMIZATION, 2021, 70 (04) : 715 - 740
  • [37] Two adaptive modified subgradient extragradient methods for bilevel pseudomonotone variational inequalities with applications
    Tan, Bing
    Cho, Sun Young
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 107
  • [38] 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
  • [39] 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
  • [40] Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
    Duong Viet Thong
    Dang Van Hieu
    Themistocles M. Rassias
    Optimization Letters, 2020, 14 : 115 - 144
12345