Modified three step iterative process with errors for common fixed point of generalized asymptotically quasi-nonexpansive mappings

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Published: Dec 30, 2012
DOI: https://doi.org/10.5556/j.tkjm.43.2012.940
Keywords:
Asymptotically quasi-nonexpansive mappings Modified three-step iterative sequence with errors Common fixed points Convergence theorems

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Seyit Temir
Harran University
Hükmi Kızıltunc
Ataturk University

Abstract

In this paper we introduce to modified three step iterative process with errors for approximating the common fixed point for generalized asymptotically quasi-nonexpansive mappings and prove some strong convergence results for the iterative sequences iterations with errors in real Banach spaces. The results obtained in this paper extend and improve the recent ones announced by Lan \cite{Lan}, Nantadilok \cite{Nan}, Saluja and Nashine \cite{SN} and Yang et all. \cite{LY} and many others.

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How to Cite
Temir, S., & Kızıltunc, H. (2012). Modified three step iterative process with errors for common fixed point of generalized asymptotically quasi-nonexpansive mappings. Tamkang Journal of Mathematics, 43(4), 577–586. https://doi.org/10.5556/j.tkjm.43.2012.940
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Vol. 43 No. 4 (2012)
Section
Papers
Author Biographies

Seyit Temir, Harran University

Department ofMathematics, Faculty of Science and Arts, Harran University, 63200, Sanliurfa, Turkey.

Hükmi Kızıltunc, Ataturk University

Department ofMathematics, Faculty of Sciences, Ataturk University, 25240, Erzurum, Turkey.

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