Ishikawa iterative processes with mixed errors for nonlinear equations with perturbed m-accretive mappings in Banach spaces

被引：0

作者：

Wu, Dingping ^{[1
]}

Chang, Shi-Sen ^{[1
]}

Yuan, George ^{[2
,3
,4
]}

机构：

[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China

[2] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia

[3] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210003, Jiangsu, Peoples R China

[4] Nanjing Univ Finance & Econ, Sch Finance, Nanjing 210003, Jiangsu, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 5-7期

关键词：

m-Accretive mapping; Ishikawa iterative sequence with mixed errors; Nonlinear equations with perturbed m-accretive operator; Normalized duality mapping;

D O I：

10.1016/j.na.2005.04.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study the convergence of the Ishikawa and Mann iterative sequences with mixed errors to approximate the solutions of nonlinear operator equations with perturbed m-accretive mappings in arbitrary Banach spaces. The results presented in this paper extend and improve some recent results in Jung and Morales [Nonlinear Anal. TMA 46 (2001) 231-243], Jung et al. [Applied Math. Comput. 133 (2002) 389-406] and Kartsatos and Liu [Nonlinear Anal. TMA 24 (1995) 469-492]. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：E2453 / E2460

页数：8

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