On the convergence of finite steps iterative sequences for asymptotically nonexpansive mappings

Shih Sen Chang; Heung Wing Joseph Lee; Yeol Je Cho

On the convergence of finite steps iterative sequences for asymptotically nonexpansive mappings

Shih Sen Chang, Heung Wing Joseph Lee, Yeol Je Cho

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

The purpose of this paper is to study the weak and strong convergence of finite steps iterative sequences with mean errors to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces. The results presented in this paper even in the cases of N = 2 or 3 are new.

Original language	English
Pages (from-to)	589-600
Number of pages	12
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	11
Issue number	4
Publication status	Published - 1 Aug 2004

Keywords

Asymptotically nonexpansive mappings
Common fixed point
Demi-closed principle
Finite steps iterative sequence
Iterative sequence with mean errors
Opial's condition
Semi-compactness

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

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title = "On the convergence of finite steps iterative sequences for asymptotically nonexpansive mappings",

abstract = "The purpose of this paper is to study the weak and strong convergence of finite steps iterative sequences with mean errors to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces. The results presented in this paper even in the cases of N = 2 or 3 are new.",

keywords = "Asymptotically nonexpansive mappings, Common fixed point, Demi-closed principle, Finite steps iterative sequence, Iterative sequence with mean errors, Opial's condition, Semi-compactness",

author = "Chang, {Shih Sen} and Lee, {Heung Wing Joseph} and Cho, {Yeol Je}",

year = "2004",

month = aug,

day = "1",

language = "English",

volume = "11",

pages = "589--600",

journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis",

issn = "1201-3390",

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On the convergence of finite steps iterative sequences for asymptotically nonexpansive mappings. / Chang, Shih Sen; Lee, Heung Wing Joseph; Cho, Yeol Je.
In: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, Vol. 11, No. 4, 01.08.2004, p. 589-600.

Research output: Journal article publication › Journal article › Academic research › peer-review

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AU - Chang, Shih Sen

AU - Lee, Heung Wing Joseph

AU - Cho, Yeol Je

PY - 2004/8/1

Y1 - 2004/8/1

N2 - The purpose of this paper is to study the weak and strong convergence of finite steps iterative sequences with mean errors to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces. The results presented in this paper even in the cases of N = 2 or 3 are new.

AB - The purpose of this paper is to study the weak and strong convergence of finite steps iterative sequences with mean errors to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces. The results presented in this paper even in the cases of N = 2 or 3 are new.

KW - Asymptotically nonexpansive mappings

KW - Common fixed point

KW - Demi-closed principle

KW - Finite steps iterative sequence

KW - Iterative sequence with mean errors

KW - Opial's condition

KW - Semi-compactness

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M3 - Journal article

SN - 1201-3390

VL - 11

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JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 4

ER -

On the convergence of finite steps iterative sequences for asymptotically nonexpansive mappings

Abstract

Keywords

ASJC Scopus subject areas

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