Operators with Property (E) as Concerns Numerical Analysis and Visualization
Gabriela Ioana Usurelu, Andreea Bejenaru, Mihai Postolache · Numerical Functional Analysis and Optimization · 2020
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 R2 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.