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

W. Laowang and B. Panyanak

Journal of Mathematics, 2013, vol. 2013, 1-5

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:503731

DOI: 10.1155/2013/503731

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