An iterative method for general mixed variational inequalities

被引：4
|
作者：
Noor, MA [1 ]
机构：
[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2000年 / 40卷 / 2-3期
关键词：
variational inequalities; auxiliary principle; iterative methods; convergence; fixed points;
D O I：
10.1016/S0898-1221(00)00151-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An iterative method for solving general mixed variational inequalities is suggested by using the auxiliary principle technique. The convergence of the proposed method only requires the partially relaxed strongly monotonicity of the operator, which is weaker than co-coercivity. As special cases, we obtain various known and new results for solving various classes of variational inequalities and related problems. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
下载
收藏
页码：171 / 176
页数：6
相关论文
共 50 条
  • [21] ITERATIVE SCHEMES FOR SOLVING GENERAL VARIATIONAL INEQUALITIES
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2023, 15 (02): : 113 - 134
  • [22] A new iterative method for variational inequalities
    Bnouhachem, Abdellah
    Noor, Muhammad Aslam
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (02) : 1673 - 1682
  • [23] ON AN ITERATIVE METHOD FOR VARIATIONAL-INEQUALITIES
    PITONYAK, A
    SHI, P
    SHILLOR, M
    NUMERISCHE MATHEMATIK, 1990, 58 (03) : 231 - 242
  • [24] On a system of general mixed variational inequalities
    Muhammad Aslam Noor
    Optimization Letters, 2009, 3 : 437 - 451
  • [25] On multivalued general mixed variational inequalities
    Noor, MA
    Al-Said, EA
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2001, 4 (03): : 455 - 463
  • [26] On a system of general mixed variational inequalities
    Noor, Muhammad Aslam
    OPTIMIZATION LETTERS, 2009, 3 (03) : 437 - 451
  • [27] Pseudomonotone general mixed variational inequalities
    Noor, MA
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 141 (2-3) : 529 - 540
  • [28] General iterative algorithms for mixed equilibrium problems, variational inequalities and fixed point problems
    Wang, Xiao-Jie
    Ceng, Lu-Chuan
    Hu, Hui-Ying
    Li, Shi-Xiu
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [29] An iterative scheme for general mixed multivalued mildly non-linear variational inequalities
    Siddiqi, AH
    Ahmad, R
    Khan, MF
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1998, 29 (06): : 583 - 588
  • [30] General iterative algorithms for mixed equilibrium problems, variational inequalities and fixed point problems
    Xiao-Jie Wang
    Lu-Chuan Ceng
    Hui-Ying Hu
    Shi-Xiu Li
    Fixed Point Theory and Applications, 2014
12345