A projection descent method for solving variational inequalities

被引：0
|
作者：
Bnouhachem, Abdellah [1 ,2 ]
Ansari, Qamrul Hasan [3 ,4 ]
Wen, Ching-Feng [5 ]
机构：
[1] Nanjing Univ, Sch Management Sci & Engn, Nanjing 210093, Jiangsu, Peoples R China
[2] Ibn Zohr Univ, ENSA, Agadir, Morocco
[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[4] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[5] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 807, Taiwan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年
关键词：
variational inequalities; self-adaptive rules; pseudomonotone operators; projection method; CONVERGENT NEWTON METHOD; OPTIMIZATION;
D O I：
10.1186/s13660-015-0665-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a descent direction method for solving variational inequalities. A new iterate is obtained by searching the optimal step size along a new descent direction which is obtained by the linear combination of two descent directions. Under suitable conditions, the global convergence of the proposed method is studied. Two numerical experiments are presented to illustrate the efficiency of the proposed method.
引用
收藏
页码：1 / 14
页数：14
相关论文
共 50 条
  • [1] A projection descent method for solving variational inequalities
    Abdellah Bnouhachem
    Qamrul Hasan Ansari
    Ching-Feng Wen
    [J]. Journal of Inequalities and Applications, 2015
  • [2] Modified descent-projection method for solving variational inequalities
    Bnouhachem, Abdellah
    Noor, Muhammad Aslam
    Khalfaoui, Mohamed
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (02) : 1691 - 1700
  • [3] A Variant of Mirror Descent Method for Solving Variational Inequalities
    Semenov, Vladimir V.
    [J]. 2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA), 2017, : 281 - 284
  • [4] Projection iterative method for solving general variational inequalities
    Bnouhachem, Abdellah
    Noor, Muhammad Aslam
    Khalfaoui, Mohamed
    Sheng Zhaohan
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2012, 40 (1-2) : 587 - 605
  • [5] Projection iterative method for solving general variational inequalities
    Abdellah Bnouhachem
    Muhammad Aslam Noor
    Mohamed Khalfaoui
    Sheng Zhaohan
    [J]. Journal of Applied Mathematics and Computing, 2012, 40 (1-2) : 587 - 605
  • [6] Outer approximated projection and contraction method for solving variational inequalities
    V. A. Uzor
    O. T. Mewomo
    T. O. Alakoya
    A. Gibali
    [J]. Journal of Inequalities and Applications, 2023
  • [7] A double projection method for solving variational inequalities without monotonicity
    Ye, Minglu
    He, Yiran
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2015, 60 (01) : 141 - 150
  • [8] CONVERGENCE RATE OF A GRADIENT PROJECTION METHOD FOR SOLVING VARIATIONAL INEQUALITIES
    Pham Duy Khanh
    Le Van Vinh
    Phan Tu Vuong
    [J]. JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2021, 5 (06): : 951 - 964
  • [9] A modified projection method with a new direction for solving variational inequalities
    Yan, Xihong
    Han, Deren
    Sun, Wenyu
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (01) : 118 - 129
  • [10] Outer approximated projection and contraction method for solving variational inequalities
    Uzor, V. A.
    Mewomo, O. T.
    Alakoya, T. O.
    Gibali, A.
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
12345