Iterative methods for generalized nonlinear variational inequalities

被引:0
|
作者
Noor, M.Aslam [1 ]
Al-Said, E.A. [1 ]
机构
[1] King Saud Univ, Riyadh, Saudi Arabia
来源
关键词
Algorithms - Convergence of numerical methods - Equivalence classes - Iterative methods - Nonlinear equations - Problem solving;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we establish the equivalence between the generalized nonlinear variational inequalities and the generalized Wiener-Hopf equations. This equivalence is used to suggest and analyze a number of iterative algorithms for solving generalized variational inequalities. We also discuss the convergence analysis of the proposed algorithms. As a special case, we obtain various known results from our results.
引用
收藏
页码:1 / 11
相关论文
共 50 条
  • [41] Extended Extragradient Methods for Generalized Variational Inequalities
    Yao, Yonghong
    Liou, Yeong-Cheng
    Li, Cun-Lin
    Lin, Hui-To
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [42] Descent methods for a class of generalized variational inequalities
    Panicucci, Barbara
    Pappalardo, Massimo
    Passacantando, Mauro
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2010, 45 (02) : 415 - 425
  • [43] Projection Iterative Methods for Multivalued General Variational Inequalities
    Al-Shemas, Eman
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2009, 3 (02): : 177 - 184
  • [44] Iterative Methods for Solving Nonconvex Equilibrium Variational Inequalities
    Noor, M. Aslam
    Noor, K. Inayat
    Al-Said, Eisa
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2012, 6 (01): : 65 - 69
  • [45] A class of combined iterative methods for solving variational inequalities
    Konnov, IV
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 94 (03) : 677 - 693
  • [46] Projection iterative methods for extended general variational inequalities
    Noor M.A.
    Journal of Applied Mathematics and Computing, 2010, 32 (01) : 83 - 95
  • [47] Some iterative methods for general nonconvex variational inequalities
    Noor, Muhammad Aslam
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (11-12) : 2955 - 2961
  • [48] Iterative methods for a class of variational inequalities in Hilbert spaces
    Nguyen Buong
    Pham Thi Thu Hoai
    Duong Nguyen
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (04) : 2383 - 2395
  • [49] Regularization and iterative methods for monotone inverse variational inequalities
    Xue-ping Luo
    Jun Yang
    Optimization Letters, 2014, 8 : 1261 - 1272
  • [50] Regularization and iterative methods for monotone inverse variational inequalities
    Luo, Xue-ping
    Yang, Jun
    OPTIMIZATION LETTERS, 2014, 8 (04) : 1261 - 1272