New viscosity method for hierarchical fixed point approach to variational inequalities

被引：3
|
作者：
Deng, Wei-Qi [1 ]
机构：
[1] Yunnan Univ Finance & Econ, Kunming 650221, Yunnan, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
基金：
中国国家自然科学基金;
关键词：
hierarchical fixed point; variational inequality; nonexpansive mappings; viscosity approximation; ITERATION;
D O I：
10.1186/1687-1812-2013-219
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new viscosity method for hierarchically approximating some common fixed point of an infinite family of nonexpansive mappings is presented; and some strong convergence theorems for solving variational inequality problems and hierarchical fixed point problems are obtained without the aid of the convex linear combination of a countable family of nonexpansive mappings. Solutions are sought in the set of fixed points of another nonexpansive mapping. The results improve those of the authors with the related interest.
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页数：10
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