Some convergence theorems for total asymptotically nonexpansive mappings in Banach spaces

Shih sen Chang; Heung Wing Joseph Lee; Chi Kin Chan

doi:10.2478/s12175-013-0156-8

Some convergence theorems for total asymptotically nonexpansive mappings in Banach spaces

Shih sen Chang, Heung Wing Joseph Lee, Chi Kin Chan

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

Abstract

The purpose of this paper is to establish some new approximation theorems of common fixed points for a countable family of total asymptotically quasi-nonexpansive mappings in Banach spaces which generalize and improve the corresponding theorems of Chidume et al. [J. Math. Anal. Appl. 333 (2007), 128-141], [J. Math. Anal. Appl. 326 (2007), 960-973], [Internat. J. Math. Math. Sci. 2009, Article ID 615107, 17 pp.] and others.

Original language	English
Pages (from-to)	1073-1084
Number of pages	12
Journal	Mathematica Slovaca
Volume	63
Issue number	5
DOIs	https://doi.org/10.2478/s12175-013-0156-8
Publication status	Published - 1 Oct 2013

Keywords

asymptotically nonexpansive in the intermediate sense
asymptotically nonexpansive mapping
asymptotically quasi-nonexpansive mapping
total asymptotically nonexpansive mapping
total symptotically quasi-nonexpansive mapping

ASJC Scopus subject areas

General Mathematics

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10.2478/s12175-013-0156-8

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title = "Some convergence theorems for total asymptotically nonexpansive mappings in Banach spaces",

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AB - The purpose of this paper is to establish some new approximation theorems of common fixed points for a countable family of total asymptotically quasi-nonexpansive mappings in Banach spaces which generalize and improve the corresponding theorems of Chidume et al. [J. Math. Anal. Appl. 333 (2007), 128-141], [J. Math. Anal. Appl. 326 (2007), 960-973], [Internat. J. Math. Math. Sci. 2009, Article ID 615107, 17 pp.] and others.

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KW - asymptotically nonexpansive mapping

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ER -

Some convergence theorems for total asymptotically nonexpansive mappings in Banach spaces

Abstract

Keywords

ASJC Scopus subject areas

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