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

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  • W. Laowang
  • B. Panyanak

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.

Suggested Citation

  • W. Laowang & B. Panyanak, 2013. "A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces," Journal of Mathematics, Hindawi, vol. 2013, pages 1-5, February.
    • Handle: RePEc:hin:jjmath:503731
    DOI: 10.1155/2013/503731
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    References listed on IDEAS

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    1. A. Kaewcharoen & B. Panyanak, 2008. "Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-9, February.
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