Hybrid Steepest Descent Method with Variable Parameters for General Variational Inequalities

被引:0
|
作者
Yanrong Yu
Rudong Chen
机构
[1] Tianjin Polytechnic University,Department of Mathematics
关键词
Variational Inequality; Variable Parameter; Strong Convergence; Steep Descent; Descent Method;
D O I
暂无
中图分类号
学科分类号
摘要
We study the strong convergence of a hybrid steepest descent method with variable parameters for the general variational inequality (GVI)[inline-graphic not available: see fulltext]. Consequently, as an application, we obtain some results concerning the constrained generalized pseudoinverse. Our results extend and improve the result of Yao and Noor (2007) and many others.
引用
收藏
相关论文
共 50 条
  • [31] Finite-step relaxed hybrid steepest-descent methods for variational inequalities
    Lin, Yen-Cherng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
  • [32] Strong convergence theorems of relaxed hybrid steepest-descent methods for variational inequalities
    Zeng, LC
    Ansari, QH
    Wu, SY
    TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (01): : 13 - 29
  • [33] Three-step relaxed hybrid steepest-descent methods for variational inequalities
    Xie-Ping, Ding
    Yen-Cherng, Lin
    Jen-Chih, Yao
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2007, 28 (08) : 1029 - 1036
  • [34] Three-step relaxed hybrid steepest-descent methods for variational inequalities
    Xie-ping Ding
    Yen-cherng Lin
    Jen-chih Yao
    Applied Mathematics and Mechanics, 2007, 28 : 1029 - 1036
  • [35] Finite-Step Relaxed Hybrid Steepest-Descent Methods for Variational Inequalities
    Yen-Cherng Lin
    Journal of Inequalities and Applications, 2008
  • [36] A SELF-ADAPTIVE HYBRID STEEPEST DESCENT ALGORITHM FOR SOLVING A CLASS OF VARIATIONAL INEQUALITIES
    He, Songnian
    Liu, Lili
    Qin, Xiaolong
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2018, 2018 (01):
  • [37] Extension of the hybrid steepest descent method to a class of variational inequalities and fixed point problems with nonself-mappings
    Mainge, Paul-Emile
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (7-8) : 820 - 834
  • [38] Hybrid steepest-descent viscosity methods for triple hierarchical variational inequalities with constraints of mixed equilibria and bilevel variational inequalities
    Ceng, Lu-Chuan
    Liou, Yeong-Cheng
    Wen, Ching-Feng
    Latif, Abdul
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (03): : 1126 - 1147
  • [39] Hybrid steepest-descent methods for systems of variational inequalities with constraints of variational inclusions and convex minimization problems
    Kong, Zhao-Rong
    Ceng, Lu-Chuan
    Liou, Yeong-Cheng
    Wen, Ching-Feng
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (03): : 874 - 901
  • [40] Hybrid implicit steepest-descent methods for triple hierarchical variational inequalities with hierarchical variational inequality constraints
    Ceng, Lu-Chuan
    Liou, Yeong-Cheng
    Wen, Ching-Feng
    Lo, Ching-Hua
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3963 - 3987