On the weak convergence for solving semistrictly quasi-monotone variational inequality problems

被引：4
|
作者：
Chang, S. S. [1 ]
Salahuddin [2 ]
Wang, L. [3 ]
Liu, M. [4 ]
机构：
[1] China Med Univ, Ctr Gen Educ, Taichung, Taiwan
[2] Jazan Univ, Dept Math, Jazan, Saudi Arabia
[3] Yunnan Univ Finance & Econ, Kunming, Yunnan, Peoples R China
[4] Yibin Univ, Dept Math, Yibin, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Variational inequality problems; Extragradient method; Semistrict quasi-monotonicity; Weak convergence; EXTRAGRADIENT METHOD;
D O I：
10.1186/s13660-019-2032-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the approximation problem of solutions for the semistrictly quasi-monotone variational inequalities in infinite-dimensional Hilbert spaces. We prove that the iterative sequence generated by the algorithm for solving the semistrictly quasi-monotone variational inequalities converges weakly to a solution.
引用
收藏
页数：11
相关论文
共 50 条
  • [41] Global method for monotone variational inequality problems with inequality constraints
    Peng, JM
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 95 (02) : 419 - 430
  • [42] Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems
    Yao, Yonghong
    Liou, Yeong-Cheng
    Wong, Mu-Ming
    Yao, Jen-Chih
    FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [43] Global Method for Monotone Variational Inequality Problems with Inequality Constraints
    J. M. Peng
    Journal of Optimization Theory and Applications, 1997, 95 : 419 - 430
  • [44] Strong convergence result for solving monotone variational inequalities in Hilbert space
    Yang, Jun
    Liu, Hongwei
    NUMERICAL ALGORITHMS, 2019, 80 (03) : 741 - 752
  • [45] Strong convergence result for solving monotone variational inequalities in Hilbert space
    Jun Yang
    Hongwei Liu
    Numerical Algorithms, 2019, 80 : 741 - 752
  • [46] WEAK CONVERGENCE THEOREM BY A NEW EXTRAGRADIENT METHOD FOR FIXED POINT PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS
    Karahan, Bulletibrahim
    Ozdemir, Murat
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2014, 63 (01): : 43 - 53
  • [47] Weak and strong convergence Bregman extragradient schemes for solving pseudo-monotone and non-Lipschitz variational inequalities
    Jolaoso, Lateef Olakunle
    Aphane, Maggie
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [48] Weak and strong convergence Bregman extragradient schemes for solving pseudo-monotone and non-Lipschitz variational inequalities
    Lateef Olakunle Jolaoso
    Maggie Aphane
    Journal of Inequalities and Applications, 2020
  • [49] Novel inertial extragradient method for solving pseudomonotone variational inequality problems
    Thong, Duong Viet
    Li, Xiao-Huan
    Dung, Vu Tien
    Huyen, Pham Thi Huong
    Tam, Hoang Thi Thanh
    OPTIMIZATION, 2024,
  • [50] A new hybrid extragradient algorithm for solving the equilibrium and variational inequality problems
    Chamnarnpan T.
    Phiangsungnoen S.
    Kumam P.
    Afrika Matematika, 2015, 26 (1-2) : 87 - 98
12345