A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappingsâ€

Satit Saejung, Suthep Suantai and Pongsakorn Yotkaew

Abstract and Applied Analysis, 2009, vol. 2009, 1-9

Abstract:

The purpose of this paper is to give a general and short principle for proving some convergence results of certain types of iterative sequences. A small gap in the paper by Imnang and Suantai (2009) is discussed and corrected. Finally, we prove that the generalized asymptotically quasi-nonexpansive mappings in the sense of Lan (2006) are nothing but asymptotically quasi-nonexpansive. Hence several results concerning these mappings become a special case of the known ones.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:283461

DOI: 10.1155/2009/283461

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