Some new projection methods for variational inequalities

被引：30
作者：
Aslam Noor, Muhammad [1 ]
Wang, Yiju [2 ]
Xiu, Naihua [3 ]
机构：
[1] Department of Mathematics, Etisalat College of Engineering, Sharjah
[2] Sch. of Math. and Computer Science, Nanjing Normal University
[3] Department of Applied Mathematics, Northern Jiaotong University
来源：
Applied Mathematics and Computation (New York) | 2003年 / 137卷 / 2-3期
基金：
中国国家自然科学基金;
关键词：
Double-projection; Iterative algorithms; Linear rate; Variational inequality; Wiener-Hopf equations;
D O I：
10.1016/S0096-3003(02)00148-0
中图分类号：
学科分类号：
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. © 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：423 / 435
页数：12
相关论文
共 50 条
  • [31] A New Projection-Based Neural Network for Constrained Variational Inequalities
    Gao, Xing-Bao
    Liao, Li-Zhi
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (03): : 373 - 388
  • [32] An existence-uniqueness theorem and alternating contraction projection methods for inverse variational inequalities
    He, Songnian
    Dong, Qiao-Li
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [33] THE SHRINKING PROJECTION METHODS FOR HEMI-RELATIVELY NONEXPANSIVE MAPPINGS, VARIATIONAL INEQUALITIES AND EQUILIBRIUM
    Wang, Zi-Ming
    Kang, Mi Kwang
    Cho, Yeol Je
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 28 (01): : 191 - 207
  • [34] An existence-uniqueness theorem and alternating contraction projection methods for inverse variational inequalities
    Songnian He
    Qiao-Li Dong
    Journal of Inequalities and Applications, 2018
  • [35] Random and cyclic projection algorithms for variational inequalities
    Wang, W. Y.
    Xia, F. Q.
    OPTIMIZATION, 2022, 71 (06) : 1677 - 1707
  • [36] Inertial projection and contraction algorithms for variational inequalities
    Dong, Q. L.
    Cho, Y. J.
    Zhong, L. L.
    Rassias, Th. M.
    JOURNAL OF GLOBAL OPTIMIZATION, 2018, 70 (03) : 687 - 704
  • [37] Inertial projection and contraction algorithms for variational inequalities
    Q. L. Dong
    Y. J. Cho
    L. L. Zhong
    Th. M. Rassias
    Journal of Global Optimization, 2018, 70 : 687 - 704
  • [38] Tangent projection equations and general variational inequalities
    Xiu, N
    Zhang, JZ
    Noor, MA
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 258 (02) : 755 - 762
  • [39] Iterative methods for generalized nonlinear variational inequalities
    Noor, MA
    AlSaid, EA
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (08) : 1 - 11
  • [40] Comparative analysis of the extragradient methods for solution of the variational inequalities of some problems
    D. N. Zaporozhets
    A. V. Zykina
    N. V. Melen’chuk
    Automation and Remote Control, 2012, 73 : 626 - 636
12345