Convergence Theorems for Berinde Type Non-Expansive Mappings

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We examine the relationship between total asymptotically nonexpansive mappings, I-asymptotically quasi-nonexpansive mappings, nonself asymptotically I-nonexpansive mappings, nonself asymptotically nonexpansive mappings, which are inspired by when the Banach contraction is nonexpansive, with respect to when a certain Berinde-type contraction is nonexpansive