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A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

✍ Scribed by Atichart Kettapun; Amnuay Kananthai; Suthep Suantai

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 326 KB
Volume: 60
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2010.06.025

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✦ Synopsis

In this paper, we consider a new iterative scheme to approximate a common fixed point for a finite family of asymptotically quasi-nonexpansive mappings. We prove several strong and weak convergence results of the proposed iteration in Banach spaces. These results generalize and refine many known results in the current literature.

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