Strong convergence of a modified iterative algorithm for hierarchical fixed point problems and variational inequalities

被引：16

作者：

Wang, Yuanheng ^{[1
]}

Xu, Wei ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Hangzhou 321004, Zhejiang, Peoples R China

[2] Tongji Zhejiang Coll, Dept Math, Hangzhou 314000, Zhejiang, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

hierarchical fixed point; nonexpansive mapping; Lipschitzian and strongly monotone mapping; quadratic minimization; modified iterative projection algorithm; NONEXPANSIVE-MAPPINGS; THEOREMS;

D O I：

10.1186/1687-1812-2013-121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article aims to deal with a new modified iterative projection method for solving a hierarchical fixed point problem. It is shown that under certain approximate assumptions of the operators and parameters, the modified iterative sequence {x(n)} converges strongly to a fixed point x* of T, also the solution of a variational inequality. As a special case, this projection method solves some quadratic minimization problem. The results here improve and extend some recent corresponding results by other authors.

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页数：9

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