A DESCENT METHOD FOR VARIATIONAL INEQUALITIES IN HILBERT SPACES

被引：0
|
作者：
Sadhu, R. [1 ]
Nahak, C. [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Kharagpur, W Bengal, India
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2020年 / 82卷 / 02期
关键词：
Variational inequality; Gap function; Optimization; Descent method; Global convergence; CONVERGENCE; ALGORITHM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a variational inequality problem is reformulated as an optimization problem. An adaptive descent method for solving the reformulated optimization problem is proposed. The method is structured by the introduction of a generalised class of differentiable gap function. Global convergence of the proposed descent method is also proved in a Hilbert space.
引用
收藏
页码：43 / 54
页数：12
相关论文
共 50 条
  • [31] Parabolic variational inequalities and their Lipschitz perturbations in Hilbert spaces
    Jeong, JM
    Park, CY
    Park, JY
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2000, 31 (06): : 603 - 620
  • [32] Iterative methods for a class of variational inequalities in Hilbert spaces
    Nguyen Buong
    Pham Thi Thu Hoai
    Nguyen Duong Nguyen
    [J]. Journal of Fixed Point Theory and Applications, 2017, 19 : 2383 - 2395
  • [33] Weak sharp solutions of variational inequalities in Hilbert spaces
    Wu, ZL
    Wu, SY
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2004, 14 (04) : 1011 - 1027
  • [34] Iterative methods for a class of variational inequalities in Hilbert spaces
    Nguyen Buong
    Pham Thi Thu Hoai
    Duong Nguyen
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (04) : 2383 - 2395
  • [35] A Generalized System of Nonlinear Variational Inequalities in Hilbert Spaces
    Qin, Xiaolong
    Cho, Sun Young
    Kang, Shin Min
    [J]. PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2009, 41 : 1 - 9
  • [36] A projection descent method for solving variational inequalities
    Abdellah Bnouhachem
    Qamrul Hasan Ansari
    Ching-Feng Wen
    [J]. Journal of Inequalities and Applications, 2015
  • [37] A projection descent method for solving variational inequalities
    Bnouhachem, Abdellah
    Ansari, Qamrul Hasan
    Wen, Ching-Feng
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, : 1 - 14
  • [38] A descent method for structured monotone variational inequalities
    Ye, Cai-Hong
    Yuan, Xiao-Ming
    [J]. OPTIMIZATION METHODS & SOFTWARE, 2007, 22 (02): : 329 - 338
  • [39] Descent method for monotone mixed variational inequalities
    O.V. Pinyagina
    M.S.S. Ali
    [J]. Calcolo, 2008, 45 : 1 - 15
  • [40] Descent method for monotone mixed variational inequalities
    Pinyagina, O. V.
    Ali, M. S. S.
    [J]. CALCOLO, 2008, 45 (01) : 1 - 15
12345