Weighted variational inequalities on Hadamard manifolds

被引：0
|
作者：
Singh, Nagendra [1 ]
Iqbal, Akhlad [1 ]
Ali, Shahid [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2024年 / 17卷 / 04期
关键词：
Hadamard manifold; WVVIP; MWVVIP; weighted pseudomonotonicity; weighted monotonicity; CONVEXITY;
D O I：
10.1142/S1793557124500244
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we extend the weighted variational inequality problem (WVIP) and the Minty weighted variational inequality problem (MWVIP) from linear spaces to nonlinear spaces, specifically Hadamard manifolds, and show the relationships between WVIP and vector variational inequalities. In addition, we establish the concept of weighted monotonicities on the Hadamard manifold and prove the existence of many solutions.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Variational inequalities on Hadamard manifolds
    Németh, SZ
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (05) : 1491 - 1498
  • [2] Nonsmooth variational inequalities on Hadamard manifolds
    Ansari, Qamrul Hasan
    Islam, Monirul
    Yao, Jen-Chih
    APPLICABLE ANALYSIS, 2020, 99 (02) : 340 - 358
  • [3] On quasimonotone Stampacchia variational inequalities on Hadamard manifolds
    Amini-Harandi, A.
    Fakhar, M.
    Nasiri, L.
    OPTIMIZATION, 2022, 71 (12) : 3695 - 3708
  • [4] Relaxed μ-quasimonotone variational inequalities in Hadamard manifolds
    Amini-Hararandi, Alireza
    Fakhar, Majid
    Nasiri, Laleh
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (03)
  • [5] Some aspects of nonsmooth variational inequalities on Hadamard manifolds
    Monirul Islam
    Syed Shakaib Irfan
    Journal of Inequalities and Applications, 2021
  • [6] Approximate proximal methods for variational inequalities on Hadamard manifolds
    Bento, G. C.
    Ferreira, O. P.
    Quiroz, E. A. Papa
    OPTIMIZATION, 2024,
  • [7] Some aspects of nonsmooth variational inequalities on Hadamard manifolds
    Islam, Monirul
    Irfan, Syed Shakaib
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [8] Explicit Iterative Method for Variational Inequalities on Hadamard Manifolds
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [9] Viscosity method for hierarchical variational inequalities and variational inclusions on Hadamard manifolds
    Filali, Doaa
    Dilshad, Mohammad
    Akram, Mohammad
    Babu, Feeroz
    Ahmad, Izhar
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [10] Viscosity method for hierarchical variational inequalities and variational inclusions on Hadamard manifolds
    Doaa Filali
    Mohammad Dilshad
    Mohammad Akram
    Feeroz Babu
    Izhar Ahmad
    Journal of Inequalities and Applications, 2021
12345