Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings | Zendy

Satit Saejung | Zendy; Suthep Suantai | Zendy; Pongsakorn Yotkaew | Zendy

Open Access

Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings

Author(s) -

Satit Saejung,

Suthep Suantai,

Pongsakorn Yotkaew

Publication year - 2009

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2009/728510

Subject(s) - mathematics , scheme (mathematics) , banach space , fixed point , iterative method , pure mathematics , discrete mathematics , mathematical analysis , mathematical optimization

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.

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