Extragradient-like method for pseudomontone equilibrium problems on Hadamard manifolds

被引：10
|
作者：
Chen, Junfeng [1 ,2 ]
Liu, Sanyang [1 ]
机构：
[1] Xidian Univ, Sch Math & Stat, Xian 710126, Peoples R China
[2] Xianyang Normal Univ, Sch Math & Informat Sci, Xianyang 712000, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Equilibrium problem; Pseudomontone bifunction; Extragradient method; Variational inequality; Hadamard manifold; PROXIMAL POINT ALGORITHM; VARIATIONAL-INEQUALITIES; VECTOR-FIELDS; FIXED-POINT; RIEMANNIAN-MANIFOLDS; GAP FUNCTIONS; MONOTONE; EXISTENCE; OPTIMIZATION; CONVEXITY;
D O I：
10.1186/s13660-020-02473-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents an extragradient-like method for solving a pseudomonotone equilibrium problem with a Lipschitz-type condition on Hadamard manifolds. The algorithm only needs to know the existence of the Lipschitz-type constants of the bifunction, and the stepsize of each iteration is determined by the adjacent iterations. Convergence of the algorithm is analyzed, and its application to variational inequalities is also provided. Finally, several experiments are made to verify the effectiveness of the algorithms.
引用
收藏
页数：15
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