Strong convergence of multi-step iterates with errors for generalized asymptotically quasi-nonexpansive mappings
GURUCHARAN SINGH SALUJA · 2013
In this paper, we study multi-step iteration with errors and give the necessary and sufficient condition to converge to common fixed points for a finite family of generalized asymp- totically quasi-nonexpansive mappings in the framework of Banach spaces. Also we establish some strong convergence theorems to converge to common fixed points for a finite family of said mappings and scheme in a uniformly convex Banach spaces. Our results extend and improve the corresponding results of (1, 2, 5, 7, 8, 9, 11, 12, 17, 23).