Strong convergence of the Mann iteration for α-demicontractive mappings

被引：8

作者：

Maruster, Laura ^{[2
]}

Maruster, Stefan ^{[1
]}

机构：

[1] W Univ Timisoara, Timisoara, Romania

[2] Univ Groningen, NL-9700 AB Groningen, Netherlands

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 9-10期

关键词：

Mann iteration; Strong convergence; Demicontractive mappings; COMMON FIXED-POINTS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACES; CONSTRUCTION; ALGORITHMS; THEOREMS;

D O I：

10.1016/j.mcm.2011.06.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper deals with strong convergence properties of the Mann iteration. A new class of demicontractive mappings (called alpha-demicontractive) is introduced for which the strong convergence of the computed sequence is assured. The paper presents also an overview of relevant contributions of the last two decades, concerning strong convergence for Mann-type iteration of demicontractive mappings. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2486 / 2492

页数：7

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