A generalization and improvement of chidume theorems for total asymptotically nonexpansive mappings in Banach spaces

Shih Sen Chang; Jong Kyu Kim; Heung Wing Joseph Lee; Chi Kin Chan

doi:10.1186/1029-242X-2012-37

A generalization and improvement of chidume theorems for total asymptotically nonexpansive mappings in Banach spaces

Shih Sen Chang
, Jong Kyu Kim
, Heung Wing Joseph Lee
, Chi Kin Chan

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

2 Citations (Scopus)

Abstract

The purpose of this article is to establish some new approximation theorems of common fixed points for a countable family of total asymptotically quasinonexpansive mappings in Banach spaces which generalize and improve the corresponding theorems of Chidume et al. and others.

Original language	English
Article number	37
Journal	Journal of Inequalities and Applications
Volume	2012
DOIs	https://doi.org/10.1186/1029-242X-2012-37
Publication status	Published - 10 Dec 2012

Keywords

Asymptotically nonexpansive in the intermediate sense
Asymptotically nonexpansive mapping
Asymptotically quasi-nonexpansive mapping
Total asymptotically nonexpansive mapping
Total asymptotically quasinonexpansive mapping

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

More information

10.1186/1029-242X-2012-37

http://hdl.handle.net/10397/6047

Cite this

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title = "A generalization and improvement of chidume theorems for total asymptotically nonexpansive mappings in Banach spaces",

abstract = "The purpose of this article is to establish some new approximation theorems of common fixed points for a countable family of total asymptotically quasinonexpansive mappings in Banach spaces which generalize and improve the corresponding theorems of Chidume et al. and others.",

keywords = "Asymptotically nonexpansive in the intermediate sense, Asymptotically nonexpansive mapping, Asymptotically quasi-nonexpansive mapping, Total asymptotically nonexpansive mapping, Total asymptotically quasinonexpansive mapping",

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AU - Chang, Shih Sen

AU - Kim, Jong Kyu

AU - Lee, Heung Wing Joseph

AU - Chan, Chi Kin

PY - 2012/12/10

Y1 - 2012/12/10

N2 - The purpose of this article is to establish some new approximation theorems of common fixed points for a countable family of total asymptotically quasinonexpansive mappings in Banach spaces which generalize and improve the corresponding theorems of Chidume et al. and others.

AB - The purpose of this article is to establish some new approximation theorems of common fixed points for a countable family of total asymptotically quasinonexpansive mappings in Banach spaces which generalize and improve the corresponding theorems of Chidume et al. and others.

KW - Asymptotically nonexpansive in the intermediate sense

KW - Asymptotically nonexpansive mapping

KW - Asymptotically quasi-nonexpansive mapping

KW - Total asymptotically nonexpansive mapping

KW - Total asymptotically quasinonexpansive mapping

UR - https://www.scopus.com/pages/publications/84870558488

U2 - 10.1186/1029-242X-2012-37

DO - 10.1186/1029-242X-2012-37

M3 - Journal article

SN - 1025-5834

VL - 2012

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 37

ER -

A generalization and improvement of chidume theorems for total asymptotically nonexpansive mappings in Banach spaces

Abstract

Keywords

ASJC Scopus subject areas

More information

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