Predictor-corrector methods for general mixed quasi variational inequalities

被引：1
|
作者：
Noor, MA [1 ]
Noor, KI
Al-Khaled, K
机构：
[1] Etisalat Coll Engn, Sharjah, U Arab Emirates
[2] United Arab Emirates Univ, Dept Math & Comp Sci, Al Ain, U Arab Emirates
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 157卷 / 03期
关键词：
variational inequalities; auxiliary principle; iterative methods; convergence; fixed points;
D O I：
10.1016/j.amc.2003.08.060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use the auxiliary principle technique to suggest a class of predictor-corrector methods for solving general mixed quasi variational inequalities. The convergence of the proposed methods 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) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：643 / 652
页数：10
相关论文
共 50 条
  • [31] Stability ordinates of Adams predictor-corrector methods
    Ghrist, Michelle L.
    Fornberg, Bengt
    Reeger, Jonah A.
    BIT NUMERICAL MATHEMATICS, 2015, 55 (03) : 733 - 750
  • [32] Predictor-corrector algorithms for solving generalized mixed implicit quasi-equilibrium problems
    Xia, Fu Quan
    Ding, Xie Ping
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 173 - 179
  • [33] PERFORMANCE OF A CLASS OF PARALLEL PREDICTOR-CORRECTOR METHODS
    BIRTA, LG
    MIN, C
    PROCEEDINGS OF THE 1989 SUMMER COMPUTER SIMULATION CONFERENCE, 1989, : 5 - 13
  • [34] CYCLIC COMPOSITE MULTISTEP PREDICTOR-CORRECTOR METHODS
    DONELSON, J
    HANSEN, E
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1971, 8 (01) : 137 - &
  • [35] Predictor-corrector smoothing methods for monotone LCP
    Zhang J.-L.
    Zhang X.-S.
    Su Y.-M.
    Acta Mathematicae Applicatae Sinica, 2004, 20 (4) : 557 - 572
  • [36] Predictor-corrector algorithms for solving generalized mixed implicit quasi-equilibrium problems
    Ding Xie-ping
    Lin Yen-cherng
    Yao Jen-chih
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2006, 27 (09) : 1157 - 1164
  • [37] A THEOREM FOR STABILITY OF GENERAL PREDICTOR-CORRECTOR METHODS FOR SOLUTION OF SYSTEMS OF DIFFERENTIAL EQUATIONS
    KARIM, AIA
    JOURNAL OF THE ACM, 1968, 15 (04) : 706 - &
  • [38] PREDICTOR-CORRECTOR ALGORITHMS FOR SOLVING GENERALIZED MIXED IMPLICIT QUASI-EQUILIBRIUM PROBLEMS
    丁协平
    林炎诚
    姚任之
    Applied Mathematics and Mechanics(English Edition), 2006, (09) : 1157 - 1164
  • [39] Predictor-corrector algorithms for solving generalized mixed implicit quasi-equilibrium problems
    Xie-ping Ding
    Yen-cherng Lin
    Jen-chih Yao
    Applied Mathematics and Mechanics, 2006, 27 : 1157 - 1164
  • [40] Iterative Methods For Mixed Quasi Bifunction Variational Inequalities
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Al-Said, Eisa
    APPLIED MATHEMATICS E-NOTES, 2010, 10 : 252 - 258
12345