ON THE STRONG CONVERGENCE OF A PROJECTION-BASED ALGORITHM IN HILBERT SPACES

被引：7
|
作者：
Liu, Liya [1 ]
Qin, Xiaolong [2 ]
机构：
[1] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu, Sichuan, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua, Zhejiang, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 01期
关键词：
Strong convergence; variational inequality problem; inertial method; pseudo-monotone mapping; FORWARD-BACKWARD ALGORITHM; SOLVING SPLIT FEASIBILITY; VARIATIONAL-INEQUALITIES; OPTIMIZATION PROBLEMS; EXTRAGRADIENT METHOD; COMMON SOLUTIONS; FINITE FAMILY; HYBRID METHOD; FIXED-POINTS; ZERO-POINT;
D O I：
10.11948/20190004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new projection-based algorithm for solving variational inequality problems with a Lipschitz continuous pseudomonotone mapping in Hilbert spaces. We prove a strong convergence of the generated sequences. The numerical behaviors of the proposed algorithm on test problems are illustrated and compared with previously known algorithms.
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页码：104 / 117
页数：14
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