Convergence analysis of a multi-step iteration for a finite family of asymptotically quasi-nonexpansive mappings

Muhammad Aqeel Ahmad Khan · Journal of Inequalities and Applications · 2013

This paper is a continuation of the analysis of classical Kuhfittig iteration involving a finite family of asymptotically quasi-nonexpansive mappings in the general setup of uniformly convex hyperbolic spaces. We establish strong and △ -convergence results of Kuhfittig iteration, which subsequently help to apply proof mining techniques for the extraction of rates of metastability in the sense of Tao. Additionally, our proposed convergence results extend and improve various results in the current literature. MSC: 47H09, 47H10, 49M05.

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