A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces. (12th February 2013)

• Record Type: Journal Article
• Authors: Laowang, W.; Panyanak, B.
• Other Names: Samanta Sujit Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2013(2013)
• Publication Date: 2013-02-12
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2013/503731
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : 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 ( C λ ) for some λ ∈ ( 0, 1 ) . Our results properly contain the results of Abkar and Eslamian (2012), Akkasriworn et al. (2012), and many others.