A Cutting Plane Method for Solving Quasimonotone Variational Inequalities

被引：0
|
作者：
P. Marcotte
D.L. Zhu
机构：
[1] DIRO and CRT,
[2] Université de Montréal,undefined
[3] CRT,undefined
[4] Université de Montréal,undefined
[5] School of Management,undefined
[6] Fudan Univ.,undefined
来源：
Computational Optimization and Applications | 2001年 / 20卷
关键词：
variational inequalities; cutting planes; analytic centers; quasimonotonicity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present an iterative algorithm for solving variational inequalities under the weakest monotonicity condition proposed so far. The method relies on a new cutting plane and on analytic centers.
引用
收藏
页码：317 / 324
页数：7
相关论文
共 50 条
  • [41] A METHOD FOR SOLVING VARIATIONAL-INEQUALITIES
    PSHENICHNYI, BN
    KALZHANOV, MU
    [J]. CYBERNETICS AND SYSTEMS ANALYSIS, 1992, 28 (06) : 846 - 853
  • [42] Iterative schemes for quasimonotone mixed variational inequalities
    Noor, MA
    [J]. OPTIMIZATION, 2001, 50 (1-2) : 29 - 44
  • [43] Homotopy method for solving variational inequalities
    Lin, Z
    Li, Y
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 100 (01) : 207 - 218
  • [44] Homotopy Method for Solving Variational Inequalities
    Z. Lin
    Y. Li
    [J]. Journal of Optimization Theory and Applications, 1999, 100 : 207 - 218
  • [45] Existence conditions in general quasimonotone variational inequalities
    Aussel, D
    Luc, DT
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2005, 71 (02) : 285 - 303
  • [46] Strong convergence results for quasimonotone variational inequalities
    Alakoya, Timilehin O.
    Mewomo, Oluwatosin T.
    Shehu, Yekini
    [J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2022, 95 (02) : 249 - 279
  • [47] Relaxed μ-quasimonotone variational inequalities in Hadamard manifolds
    Amini-Hararandi, Alireza
    Fakhar, Majid
    Nasiri, Laleh
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (03)
  • [48] A Class of Novel Mann-Type Subgradient Extragradient Algorithms for Solving Quasimonotone Variational Inequalities
    Wairojjana, Nopparat
    Argyros, Ioannis K.
    Shutaywi, Meshal
    Deebani, Wejdan
    Argyros, Christopher I.
    [J]. SYMMETRY-BASEL, 2021, 13 (07):
  • [49] A projection-like method for quasimonotone variational inequalities without Lipschitz continuity
    Xiaoxi Jia
    Lingling Xu
    [J]. Optimization Letters, 2022, 16 : 2387 - 2403
  • [50] A projection-like method for quasimonotone variational inequalities without Lipschitz continuity
    Jia, Xiaoxi
    Xu, Lingling
    [J]. OPTIMIZATION LETTERS, 2022, 16 (08) : 2387 - 2403
12345