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Journal of Mathematics
Volume 2013 (2013), Article ID 503731, 5 pages
Research Article

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

Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Received 5 October 2012; Accepted 12 December 2012

Academic Editor: Sujit Samanta

Copyright © 2013 W. Laowang and B. Panyanak. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


It is shown that the notion of mappings satisfying condition 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 and a multivalued mapping satisfying condition for some . Our results properly contain the results of Abkar and Eslamian (2012), Akkasriworn et al. (2012), and many others.