On iterations methods for zeros of accretive operators in Banach spaces

被引：15

作者：

Song, Yisheng ^{[3
]}

Kang, Jung Im ^{[4
]}

Cho, Yeol Je ^{[1
,2
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[3] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

[4] Natl Inst Math Sci, Taejon 305340, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 03期

关键词：

Set-valued accretive operators; Continuous Picard type iteration; Approximate Picard type iteration; Halpern type iteration; Strong convergence; CONTINUOUS PSEUDOCONTRACTIVE MAPPINGS; STRONG-CONVERGENCE THEOREMS; WEAKLY CONTRACTIVE MAPS; FIXED-POINT; MONOTONE; RESOLVENTS; EQUATIONS;

D O I：

10.1016/j.amc.2010.01.124

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, three iterations are designed to approach zeros of set-valued accretive operators in Banach spaces. The first one is the continuous Picard type iteration involving the resolvent, the second one is the approximate Picard type iteration involving the resolvent and the third one is the Halpern type iteration involving the resolvent. Some strong convergence theorems for three iterations are proved. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1007 / 1017

页数：11

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