Some aspects of nonsmooth variational inequalities on Hadamard manifolds

被引:0
|
作者
Monirul Islam
Syed Shakaib Irfan
机构
[1] Aligarh Muslim University,Department of Mathematics
关键词
Nonsmooth variational inequality; Bifunctions; Minimum principle sufficiency property; Maximum principle sufficiency property; Gap functions; Hadamard manifolds; 49J53; 49J40; 47H05; 47J22;
D O I
暂无
中图分类号
学科分类号
摘要
This is the first paper dealing with the study of minimum and maximum principle sufficiency properties for nonsmooth variational inequalities by using gap functions in the setting of Hadamard manifolds. We also provide some characterizations of these two sufficiency properties. We conclude the paper with a discussion of the error bounds for nonsmooth variational inequalities in the setting of Hadamard manifolds.
引用
收藏
相关论文
共 50 条
  • [21] The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds
    Tang, Guo-ji
    Zhou, Li-wen
    Huang, Nan-jing
    OPTIMIZATION LETTERS, 2013, 7 (04) : 779 - 790
  • [22] SOME CHARACTERIZATIONS FOR THE SOLUTION SETS OF PSEUDOAFFINE PROGRAMS, CONVEX PROGRAMS AND VARIATIONAL INEQUALITIES ON HADAMARD MANIFOLDS
    Li, Xiao-Bo
    Xiao, Yi-Bin
    Huang, Nan-Jing
    PACIFIC JOURNAL OF OPTIMIZATION, 2016, 12 (02): : 307 - 325
  • [23] CHARACTERIZATIONS OF WEAK SHARP SOLUTIONS FOR VARIATIONAL INEQUALITIES ON HADAMARD MANIFOLDS AND APPLICATIONS
    Nguyen, Luong Van
    Thu, Nguyen Thi
    An, Nguyen Thai
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2024, 20 (02) : 729 - 751
  • [24] VISCOSITY METHOD WITH A φ-CONTRACTION MAPPING FOR HIERARCHICAL VARIATIONAL INEQUALITIES ON HADAMARD MANIFOLDS
    Al-Homidan, Suliman
    Ansari, Qamrul Hasan
    Babu, Feeroz
    Yao, Jen-Chih
    FIXED POINT THEORY, 2020, 21 (02): : 561 - 584
  • [25] IMPLICIT AND EXPLICIT VISCOSITY METHODS FOR HIERARCHICAL VARIATIONAL INEQUALITIES ON HADAMARD MANIFOLDS
    Ansari, Qamrul Hasan
    Babu, Feeroz
    Zeeshan, Mohd.
    FIXED POINT THEORY, 2023, 24 (01): : 23 - 48
  • [26] Modified Halpern and viscosity methods for hierarchical variational inequalities on Hadamard manifolds
    Konrawut Khammahawong
    Sani Salisu
    Computational and Applied Mathematics, 2024, 43
  • [27] Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [28] Modified Halpern and viscosity methods for hierarchical variational inequalities on Hadamard manifolds
    Khammahawong, Konrawut
    Salisu, Sani
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (01):
  • [29] A projection algorithm for set-valued variational inequalities on Hadamard manifolds
    Fang, Chang-jie
    Chen, Sheng-lan
    OPTIMIZATION LETTERS, 2015, 9 (04) : 779 - 794
  • [30] Two accelerated double inertial algorithms for variational inequalities on Hadamard manifolds
    Tan, Bing
    Abass, Hammed Anuoluwapo
    Li, Songxiao
    Oyewole, Olawale Kazeem
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2025, 145