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
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 24 条
  • [1] Baiocchi C., 1984, VARIATIONAL QUASI VA
  • [2] BREZIS H., 1973, North-Holland Math. Stud., V5
  • [3] Cottle R.W., 1980, Variational Inequalities and Complementarity Problems: Theory and Applications
  • [4] Crank J., 1984, Free and Moving Boundary Problems
  • [5] GIANNESSI F, 2001, EQUILIBRIUM PROBLEMS
  • [6] Giannessi F., 1995, Variational Inequalities and Network Equilibrium Problems
  • [7] Glowinski R., 1981, Numerical Analysis of Variational Inequalities
  • [8] Kikuchi N., 1988, CONTACT PROBLEMS ELA
  • [9] Kinderlehrer D., 2000, CLASSICS APPL MATH, V31
  • [10] VARIATIONAL INEQUALITIES
    LIONS, JL
    STAMPACC.G
    [J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1967, 20 (03) : 493 - &