Wiener-Hopf equations and general mildly nonlinear variational inequalities

被引:0
作者
Siddiqi, AH [1 ]
Khan, MF [1 ]
Ahmad, R [1 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
关键词
Wiener Hopf equations; general mildly nonlinear variational inequalities; iterative algorithms; convergence criteria;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The general mildly nonlinear variational inequality problem is equivalent to the problem of solving the Wiener-Hopf equations. This equivalence is used to suggest and analyze a number of iterative algorithms for solving general mildly nonlinear variational inequalities including many known algorithms as special cases for solving general variational inequalities. The convergence criteria for these algorithms are discussed and be present results reflect the extension and improvement of Noor's results.(8)
引用
收藏
页码:1317 / 1325
页数:9
相关论文
共 50 条
  • [21] On general systems of variational inequalities
    Ceng, Lu-Chuan
    Kong, Zhao-Rong
    Wen, Ching-Feng
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (08) : 1514 - 1532
  • [22] Projection iterative methods for extended general variational inequalities
    Noor M.A.
    Journal of Applied Mathematics and Computing, 2010, 32 (01) : 83 - 95
  • [23] Resolvent equations technique for variational inequalities
    Muhammad Aslam Noor
    Korean Journal of Computational & Applied Mathematics, 1997, 4 (2): : 347 - 358
  • [24] New Trends in General Variational Inequalities
    Muhammad Aslam Noor
    Khalida Inayat Noor
    Michael Th. Rassias
    Acta Applicandae Mathematicae, 2020, 170 : 981 - 1064
  • [25] New Trends in General Variational Inequalities
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Rassias, Michael Th
    ACTA APPLICANDAE MATHEMATICAE, 2020, 170 (01) : 981 - 1064
  • [26] GENERAL ALGORITHM FOR VARIATIONAL-INEQUALITIES
    NOOR, MA
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1992, 73 (02) : 409 - 413
  • [27] Iterative algorithms for variational inequalities and associated nonlinear equations involving relaxed Lipschitz operators
    Verma, RU
    APPLIED MATHEMATICS LETTERS, 1996, 9 (04) : 61 - 63
  • [28] Algorithms for nonlinear mixed variational inequalities
    Muhammad Aslam Noor
    Eisa A. Al-Said
    Korean Journal of Computational & Applied Mathematics, 1998, 5 (2): : 271 - 286
  • [29] On sensitivity analysis of general variational inequalities
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    MATHEMATICAL COMMUNICATIONS, 2008, 13 (01) : 75 - 83
  • [30] Some developments in general variational inequalities
    Noor, MA
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 152 (01) : 199 - 277