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.

引用

页数：10

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