THE PROJECTION AND CONTRACTION ALGORITHM FOR SOLVING VARIATIONAL INEQUALITY PROBLEMS IN HILBERT SPACES

被引：1
|
作者：
Dong, Qiao-Li [1 ,2 ]
Yang, Jinfeng [1 ]
Yuan, Han-Bo [1 ,2 ]
机构：
[1] Civil Aviat Univ China, Tianjin Key Lab Adv Signal Proc, Tianjin 300300, Peoples R China
[2] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2019年 / 20卷 / 01期
关键词：
Nonexpansive mapping; fixed point; variational inequality problem; projection and contraction algorithm; SUBGRADIENT EXTRAGRADIENT METHOD; STRONG-CONVERGENCE; WEAK-CONVERGENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to study a projection and contraction algorithm for solving variational inequality problems in Hilbert space. In addition, we propose a modified version of our algorithm to find a common element of the set of solutions of a variational inequality problem and the set of fixed points of a nonexpansive mapping. We establish weak convergence theorems for both algorithms. Numerical experiments show the efficiency and advantage of the projection and contraction algorithm.
引用
收藏
页码：111 / 122
页数：12
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