The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces

被引：149

作者：

Mainge, Paul-Emile ^{[1
]}

机构：

[1] Univ Antilles Guyane, GRIMAAG, Dept Sci Interfac, F-97230 Martinique, Fwi, France

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 01期

关键词：

Variational inequality; Bilevel optimization; Convex minimization; Viscosity approximation method; Fixed point method; Quasi-nonexpansive operator; FIXED-POINTS; STRONG-CONVERGENCE; THEOREMS; WEAK;

D O I：

10.1016/j.camwa.2009.09.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the strong convergence of the viscosity approximation method, in Hilbert spaces, relatively to the computation of fixed points of operators in the wide class of quasi-nonexpansive mappings. Our convergence results improve previously known ones obtained for the class of nonexpansive mappings. (C) 2009 Elsevier Ltd, All rights reserved.

引用

页码：74 / 79

页数：6

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