THE CYCLIC PROJECTION AND CONTRACTION METHODS FOR FINDING COMMON SOLUTIONS TO VARIATIONAL INEQUALITY PROBLEMS

被引：0
|
作者：
Dong, Qiao-Li [1 ,2 ]
Li, Xiao-Huan [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 / 03期
基金：
中国国家自然科学基金;
关键词：
Variational inequality problem; cyclic ordering; extragradient method; projection and contraction algorithm; STRONG-CONVERGENCE; ALGORITHMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a cyclic projection and contraction method with different inner loops for finding common solutions to variational inequality problems in Hilbert spaces. The cyclic order of the variational inequalities is arbitrarily given at the beginning of the epoch. Both weak and strong convergence are investigated under standard assumptions imposed on the operators. A preliminary experiment is presented to compare the three cyclic orderings and illustrate the advantage of the proposed algorithms.
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页码：499 / 512
页数：14
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