On the hierarchical variational inclusion problems in Hilbert spaces

被引：0

作者：

Chang, Shih-sen ^{[1
]}

Kim, Jong Kyu ^{[2
]}

Lee, H. W. Joseph ^{[3
]}

Chun, Chi Kin ^{[3
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China

[2] Kyungnam Univ, Dept Math Educ, Chang Won 631701, Gyeongnam, South Korea

[3] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

基金：

新加坡国家研究基金会;

关键词：

hierarchical variational inclusion problem; hierarchical variational inequality problem; hierarchical optimization problems; quasi-nonexpansive mapping; strongly quasi-nonexpansive mapping; demiclosed principle; FIXED-POINT APPROACH; PROJECTION METHODS; VISCOSITY METHOD; INEQUALITIES; SYSTEM; SET; ALGORITHMS; MAPPINGS;

D O I：

10.1186/1687-1812-2013-179

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is by using Maing,'s approach to study the existence and approximation problem of solutions for a class of hierarchical variational inclusion problems in the setting of Hilbert spaces. As applications, we solve the convex programming problems and quadratic minimization problems by using the main theorems. Our results extend and improve the corresponding recent results announced by many authors.

引用

页数：16

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