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

The purpose of this article 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. and others. 2000 AMS Subject Classi...

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Published inJournal of inequalities and applications Vol. 2012; no. 1; pp. 1 - 37
Main Authors Chang, Shih-sen, Kim, Jong Kyu, Lee, H W Joseph, Chan, Chi Kin
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 16.02.2012
Springer Nature B.V
BioMed Central Ltd
Subjects
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
asymptotically quasi-nonexpansive mapping
total asymptotically quasi-nonexpansive mapping
asymptotically nonexpansive mapping
total asymptotically nonexpansive mapping
asymptotically nonexpansive in the intermediate sense
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Summary:The purpose of this article 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. and others. 2000 AMS Subject Classification : 47J05; 47H09; 49J25.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2012-37