Variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds

被引：3
|
作者：
Luong Van Nguyen [1 ]
Nguyen Thi Thu [1 ]
Nguyen Thai An [2 ]
机构：
[1] Hong Duc Univ, Fac Nat Sci, Thanh Hoa, Vietnam
[2] Hue Univ, Coll Educ, Dept Math, Hue City, Vietnam
来源：
APPLICABLE ANALYSIS | 2023年 / 102卷 / 02期
关键词：
Variational inequalities; Hadamard manifolds; strongly pseudomonotone; modified projection method; linear conditioning; Finite convergence; PROXIMAL POINT ALGORITHM; EXTRAGRADIENT METHOD; RIEMANNIAN-MANIFOLDS; CONVERGENCE ANALYSIS; INCLUSION PROBLEMS; NONSMOOTH ANALYSIS; FIXED-POINTS; EXISTENCE; MONOTONE; FINITE;
D O I：
10.1080/00036811.2021.1954166
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds. The existence and uniqueness results of the solution, linear convergence, error estimates and finite convergence for sequences generated by a modified projection method for solving variational inequalities are investigated. Some examples and numerical experiments are also given to illustrate our results.
引用
收藏
页码：444 / 467
页数：24
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