An iterative method for general variational inequalities

被引：3
|
作者：
Yin, Hongxia [1 ]
机构：
[1] Chinese Acad Sci, Grad Sch, Dept Math, Beijing 100049, Peoples R China
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2005年 / 1卷 / 02期
关键词：
general variational inequality problem; g-pseudomonotone; Hilbert space; iterative method; convergence;
D O I：
10.3934/jimo.2005.1.201
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Motivated by the observation that some reformulation based extragraclient methods for general monotone variational inequalities in real Hilbert space may not generate a solution of the original problem, we propose an iterative method with line searches and prove its convergence for general pseudomonotone (monotone) variational inequality problems.
引用
收藏
页码：201 / 209
页数：9
相关论文
共 50 条
  • [1] An iterative method for general mixed variational inequalities
    Noor, MA
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 40 (2-3) : 171 - 176
  • [2] Projection iterative method for solving general variational inequalities
    Bnouhachem, Abdellah
    Noor, Muhammad Aslam
    Khalfaoui, Mohamed
    Sheng Zhaohan
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2012, 40 (1-2) : 587 - 605
  • [3] Projection iterative method for solving general variational inequalities
    Abdellah Bnouhachem
    Muhammad Aslam Noor
    Mohamed Khalfaoui
    Sheng Zhaohan
    Journal of Applied Mathematics and Computing, 2012, 40 (1-2) : 587 - 605
  • [4] A general iterative method with strongly positive operators for general variational inequalities
    Ceng, Lu-Chuan
    Guu, Sy-Ming
    Yao, Jen-Chih
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (04) : 1441 - 1452
  • [5] On an iterative algorithm for general variational inequalities
    Noor, Muhammad Aslam
    Bnouhachem, Abdellah
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 185 (01) : 155 - 168
  • [6] Iterative Algorithms for General Multivalued Variational Inequalities
    Yao, Yonghong
    Noor, Muhammad Aslam
    Liou, Yeong-Cheng
    Kang, Shin Min
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [7] ITERATIVE SCHEMES FOR SOLVING GENERAL VARIATIONAL INEQUALITIES
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2023, 15 (02): : 113 - 134
  • [8] A new iterative method for variational inequalities
    Bnouhachem, Abdellah
    Noor, Muhammad Aslam
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (02) : 1673 - 1682
  • [9] ON AN ITERATIVE METHOD FOR VARIATIONAL-INEQUALITIES
    PITONYAK, A
    SHI, P
    SHILLOR, M
    NUMERISCHE MATHEMATIK, 1990, 58 (03) : 231 - 242
  • [10] GENERAL COMPOSITE ITERATIVE METHODS FOR GENERAL SYSTEMS OF VARIATIONAL INEQUALITIES
    Latif, A.
    Alofi, A. S. M.
    Al-Mazrooei, A. E.
    Yao, J. C.
    FIXED POINT THEORY, 2018, 19 (01): : 287 - 300
12345