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In this study, we introduce a new iterative processes to approximate commonfixed points of an infinite family of quasi-nonexpansive mappings and obtain astrongly convergent iterative sequence to the common fixed points of thesemappings in a uniformly convex Banach space. Also we prove that this process toapproximate zeros of an infinite family of accretive operators and we obtain astrong convergence result for these operators. Our results improve andgeneralize many known results in the current literature.

On some strong convergence results of a new Halpern-type iterative process for quasi-nonexpansive mappings and accretive operators in Banach spaces