A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces

A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces

It is shown that the notion of mappings satisfying condition (K) introduced by Akkasriworn et al. (2012) is weaker than the notion of asymptotically quasi-nonexpansive mappings in the sense of Qihou (2001) and is weaker than the notion of pointwise asymptotically nonexpansive mappings in the sense o...

Full description

Bibliographic Details
Main Authors: W. Laowang, B. Panyanak
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/503731
id doaj-35d317c7e9d24e7b9c2bf901e4b31473
record_format Article
spelling doaj-35d317c7e9d24e7b9c2bf901e4b314732020-11-24T21:46:44ZengHindawi LimitedJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/503731503731A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic SpacesW. Laowang0B. Panyanak1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandIt is shown that the notion of mappings satisfying condition (K) introduced by Akkasriworn et al. (2012) is weaker than the notion of asymptotically quasi-nonexpansive mappings in the sense of Qihou (2001) and is weaker than the notion of pointwise asymptotically nonexpansive mappings in the sense of Kirk and Xu (2008). We also obtain a common fixed point for a commuting pair of a mapping satisfying condition (K) and a multivalued mapping satisfying condition (Cλ) for some λ∈(0,1). Our results properly contain the results of Abkar and Eslamian (2012), Akkasriworn et al. (2012), and many others.http://dx.doi.org/10.1155/2013/503731
collection DOAJ
language English
format Article
sources DOAJ
author W. Laowang
B. Panyanak
spellingShingle W. Laowang
B. Panyanak
A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces
Journal of Mathematics
author_facet W. Laowang
B. Panyanak
author_sort W. Laowang
title A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces
title_short A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces
title_full A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces
title_fullStr A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces
title_full_unstemmed A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces
title_sort note on common fixed point results in uniformly convex hyperbolic spaces
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2013-01-01
description It is shown that the notion of mappings satisfying condition (K) introduced by Akkasriworn et al. (2012) is weaker than the notion of asymptotically quasi-nonexpansive mappings in the sense of Qihou (2001) and is weaker than the notion of pointwise asymptotically nonexpansive mappings in the sense of Kirk and Xu (2008). We also obtain a common fixed point for a commuting pair of a mapping satisfying condition (K) and a multivalued mapping satisfying condition (Cλ) for some λ∈(0,1). Our results properly contain the results of Abkar and Eslamian (2012), Akkasriworn et al. (2012), and many others.
url http://dx.doi.org/10.1155/2013/503731
work_keys_str_mv AT wlaowang anoteoncommonfixedpointresultsinuniformlyconvexhyperbolicspaces
AT bpanyanak anoteoncommonfixedpointresultsinuniformlyconvexhyperbolicspaces
AT wlaowang noteoncommonfixedpointresultsinuniformlyconvexhyperbolicspaces
AT bpanyanak noteoncommonfixedpointresultsinuniformlyconvexhyperbolicspaces
_version_ 1725900324139433984

Similar Items