Extragradient methods for pseudomonotone variational inequalities

被引：43
|
作者：
Noor, MA [1 ]
机构：
[1] Etisalat Coll Engn, Sharjah, U Arab Emirates
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2003年 / 117卷 / 03期
关键词：
variational inequalities; projection methods; fixed points; inertial proximal methods; convergence;
D O I：
10.1023/A:1023989403613
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider and analyze some new extragradient-type methods for solving variational inequalities. The modified methods converge for a pseudomonotone operator, which is a much weaker condition than monotonicity. These new iterative methods include the projection, extragradient, and proximal methods as special cases. Our proof of convergence is very simple as compared with other methods.
引用
收藏
页码：475 / 488
页数：14
相关论文
共 50 条
  • [41] An inertial-like Tseng's extragradient method for solving pseudomonotone variational inequalities in reflexive Banach spaces
    Mewomo, Oluwatosin T.
    Alakoya, Timilehin O.
    Eze, Amara
    Iyiola, Olaniyi S.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (12) : 9637 - 9668
  • [42] A generalized extragradient method for variational inequalities of the second kind
    Uko, Livinus U.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (01):
  • [43] Qualitative properties of strongly pseudomonotone variational inequalities
    Kim, Do Sang
    Phan Tu Vuong
    Pham Duy Khanh
    OPTIMIZATION LETTERS, 2016, 10 (08) : 1669 - 1679
  • [44] AN ACCELERATED SUBGRADIENT EXTRAGRADIENT ALGORITHM FOR STRONGLY PSEUDOMONOTONE VARIATIONAL INEQUALITY PROBLEMS
    Abubakar, Jamilu
    Sombut, Kamonrat
    Rehman, Habib Ur
    Ibrahim, Abdulkarim Hassan
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (01): : 166 - 187
  • [45] Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings
    Dang Van Hieu
    Le Dung Muu
    Pham Ky Anh
    NUMERICAL ALGORITHMS, 2016, 73 (01) : 197 - 217
  • [46] A class of strongly convergent subgradient extragradient methods for solving quasimonotone variational inequalities
    Rehman, Habib ur
    Kumam, Poom
    Ozdemir, Murat
    Yildirim, Isa
    Kumam, Wiyada
    DEMONSTRATIO MATHEMATICA, 2023, 56 (01)
  • [47] Random and cyclic projection algorithms for strongly pseudomonotone variational inequalities
    Wang, Wanyu
    Ma, Beibei
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2025, 2025 (01):
  • [48] SELF-ADAPTIVE PROJECTIVE METHODS FOR SOLVING PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND QUASI-VARIATIONAL INCLUSIONS
    Yin, Tzu-chien
    Hussain, Nawab
    Alamri, Hind
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (04) : 729 - 742
  • [49] A Mean Extragradient Method for Solving Variational Inequalities
    Buakird, Apichit
    Nimana, Nimit
    Petrot, Narin
    SYMMETRY-BASEL, 2021, 13 (03):
  • [50] CONDITIONAL EXTRAGRADIENT ALGORITHMS FOR SOLVING VARIATIONAL INEQUALITIES
    Bello-Cruz, J. Y.
    Millan, R. Daz
    Phan, Hung M.
    PACIFIC JOURNAL OF OPTIMIZATION, 2019, 15 (03): : 331 - 357
12345