Implicit Iterative Methods for Nonconvex Variational Inequalities

被引：19
|
作者：
Noor, M. A. [1 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2009年 / 143卷 / 03期
关键词：
Variational inequalities; Nonconvex sets; Monotone operators; Iterative method; Convergence;
D O I：
10.1007/s10957-009-9567-7
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：
In this paper, we suggest and analyze an implicit iterative method for solving nonconvex variational inequalities using the technique of the projection operator. We also discuss the convergence of the iterative method under suitable weaker conditions. Our method of proof is very simple as compared with other techniques.
引用
收藏
页码：619 / 624
页数：6
相关论文
共 50 条
  • [21] Implicit Iterative Method for Hierarchical Variational Inequalities
    Ceng, L-C
    Ansari, Q. H.
    Wong, N-C
    Yao, J-C
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [22] Iterative methods for generalized nonlinear variational inequalities
    Noor, MA
    AlSaid, EA
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (08) : 1 - 11
  • [23] On nonconvex bifunction variational inequalities
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Al-Said, Eisa
    OPTIMIZATION LETTERS, 2012, 6 (07) : 1477 - 1484
  • [24] On nonconvex bifunction variational inequalities
    Muhammad Aslam Noor
    Khalida Inayat Noor
    Eisa Al-Said
    Optimization Letters, 2012, 6 : 1477 - 1484
  • [25] Iterative methods for solving variational inequalities in Euclidean space
    Gibali, Aviv
    Reich, Simeon
    Zalas, Rafal
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2015, 17 (04) : 775 - 811
  • [26] GENERAL REGULARIZED NONCONVEX VARIATIONAL INEQUALITIES AND IMPLICIT GENERAL NONCONVEX WIENER-HOPF EQUATIONS
    Balooee, Javad
    Cho, Yeol Je
    PACIFIC JOURNAL OF OPTIMIZATION, 2014, 10 (02): : 255 - 273
  • [27] Relaxed extragradient iterative methods for variational inequalities
    Ceng, Lu-Chuan
    Ansari, Qamrul Hasan
    Yao, Jen-Chih
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) : 1112 - 1123
  • [28] Regularization and Iterative Methods for Monotone Variational Inequalities
    Xiubin Xu
    Hong-Kun Xu
    Fixed Point Theory and Applications, 2010
  • [29] Iterative methods for solving general quasi-variational inequalities
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Al-Said, Eisa
    OPTIMIZATION LETTERS, 2010, 4 (04) : 513 - 530
  • [30] A class of new iterative methods for general mixed variational inequalities
    Noor, MA
    MATHEMATICAL AND COMPUTER MODELLING, 2000, 31 (13) : 11 - 19
12345