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Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps
Journal article   Peer reviewed

Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps

Naseer Shahzad, Habtu Zegeye and Nadia Shahzad
Applied mathematics and computation, Vol.189(2), pp.1058-1065
15/06/2007
DOI: https://doi.org/10.1016/j.amc.2006.11.152

Abstract

Common fixed point Generalized asymptotically quasi-nonexpansive map Implicit iteration process Strong convergence
The aim of this paper is to prove strong convergence of a modified implicit iteration process to a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings. An immediate corollary of our theorems provides an affirmative response to a question raised by Xu and Ori [H.K. Xu, R. Ori, An implicit iterative process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767–773].

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