Abstract

In this paper, we study a Thakur three-step iterative process in the new context of generalized nonexpansive mappings enriched with property (E). A uniformly convex Banach space is used as underlying setting for our approach. In order to emphasize our results we offer an example of a mapping on endowed with property (E) that exceeds the well known class of Suzuki mappings. By connecting the Thakur iterative process (and many other iterations) with this example, we perform a comparative numerical experiment. This brings to light a new method that allows the visualization of some convergence behaviors.

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