A hybrid iterative method with averaged mappings for hierarchical fixed point problems and variational inequalities

被引：4

作者：

Fan, Bin ^{[1
]}

机构：

[1] Fujian Normal Univ, Fuqing Branch, Sch Elect & Informat Engn, Fuqing 350300, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2015年 / 70卷 / 03期

关键词：

Nonexpansive mapping; Averaged mapping; Hierarchical fixed point; Variational inequalities; Strong convergence; Numerical results; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; FINITE FAMILY;

D O I：

10.1007/s11075-014-9956-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a hybrid iterative method with averaged mappings for hierarchical fixed point problems and variational inequalities. Under suitable assumptions, strong convergence theorems have been proved in the framework of a Hilbert space. The results here improve and extend some recent corresponding results in the current literature. In addition, numerical results indicate that the proposed method is quite effective.

引用

页码：451 / 467

页数：17

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