Composite relaxed extragradient method for triple hierarchical variational inequalities with constraints of systems of variational inequalities

被引：4
|
作者：
Ceng, Lu-Chuan [1 ,2 ]
Liou, Yeong-Cheng [3 ,4 ,5 ]
Wen, Ching-Feng [6 ,7 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Sci Comp Key Lab Shanghai Univ, Shanghai 200234, Peoples R China
[3] Kaohsiung Med Univ, Dept Healthcare Adm & Med Informat, Kaohsiung 807, Taiwan
[4] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 807, Taiwan
[5] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 807, Taiwan
[6] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 807, Taiwan
[7] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 807, Taiwan
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 04期
关键词：
Composite relaxed extragradient algorithm; triple hierarchical variational inequality; general system of variational inequalities; inverse-strongly monotone mapping; STRONG-CONVERGENCE THEOREMS; ALGORITHM; MAPPINGS; WEAK;
D O I：
10.22436/jnsa.010.04.58
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce and analyze a composite relaxed extragradient viscosity algorithm for solving the triple hierarchical variational inequality problem with the constraint of general system of variational inequalities in a real Hilbert space. Strong convergence of the iteration sequences generated by the algorithm is established under some suitable conditions. Our results improve and extend the corresponding results in the earlier and recent literature. (C) 2017 All rights reserved.
引用
收藏
页码：2018 / 2039
页数：22
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