Some new projection methods for variational inequalities

被引：0
|
作者：
Noor, MA
Wang, YJ
Xiu, NH
机构：
[1] Etisalat Coll Engn, Dept Math, Sharjah, U Arab Emirates
[2] No Jiaotong Univ, Dept Appl Math, Beijing 100044, Peoples R China
[3] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 137卷 / 2-3期
关键词：
variational inequality; double-projection; Wiener-Hopf equations; iterative algorithms; linear rate;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose some new double-projection methods for solving variational inequalities by using the Wiener-Hopf equations technique. It is shown that these methods converge linearly under mild conditions and include some existing projection methods as special cases. Some examples are given to illustrate the efficiency of the proposed methods. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：423 / 435
页数：13
相关论文
共 50 条
  • [1] Some new projection methods for variational inequalities
    Aslam Noor, Muhammad
    Wang, Yiju
    Xiu, Naihua
    Applied Mathematics and Computation (New York), 2003, 137 (2-3): : 423 - 435
  • [2] Some New Inertial Projection Methods For Quasi Variational Inequalities
    Jabeen, Saudia
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    APPLIED MATHEMATICS E-NOTES, 2021, 21 : 172 - 178
  • [3] New projection methods with inertial steps for variational inequalities
    Shehu, Yekini
    Iyiola, Olaniyi S.
    Yao, Jeh-Chih
    OPTIMIZATION, 2022, 71 (16) : 4731 - 4762
  • [4] Some projection methods with the BB step sizes for variational inequalities
    He, Hongjin
    Han, Deren
    Li, Zhibao
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (09) : 2590 - 2604
  • [5] Improvements of Some Projection Methods for Monotone Nonlinear Variational Inequalities
    B. S. He
    L. Z. Liao
    Journal of Optimization Theory and Applications, 2002, 112 : 111 - 128
  • [6] Improvements of some projection methods for monotone nonlinear variational inequalities
    He, BS
    Liao, LZ
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 112 (01) : 111 - 128
  • [7] Projection methods for nonconvex variational inequalities
    Muhammad Aslam Noor
    Optimization Letters, 2009, 3 : 411 - 418
  • [8] Projection methods for monotone variational inequalities
    Noor, MA
    Rassias, TM
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 237 (02) : 405 - 412
  • [9] Projection methods, algorithms, and a new system of nonlinear variational inequalities
    Verma, RU
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (7-8) : 1025 - 1031
  • [10] Projection methods for nonconvex variational inequalities
    Noor, Muhammad Aslam
    OPTIMIZATION LETTERS, 2009, 3 (03) : 411 - 418
12345