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In this paper, we consider a general iterative scheme to approximate a common fixed point for a finite family of asymptotically quasi-nonexpansive mappings. Several strong and weak convergence results are presented in Banach spaces and an finite family of asymptotically quasi-nonexpansive mappings is constructed. Our results generalize and extend many known results in the current literature. c ©2012 NGA. All rights reserved.

journal of nonlinear sciences and applications./journal of nonlinear sciences and  applications.

Convergence theorems of a general approximation method for common fixed points of a finite family of asymptotically-quasi nonexpansive mappings in Banach spaces