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.

中文翻译：

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具有属性 (E) 的运算符涉及数值分析和可视化

摘要在本文中，我们研究了在具有属性 (E) 的广义非扩展映射的新上下文中的 Thakur 三步迭代过程。一致凸的 Banach 空间用作我们方法的基础设置。为了强调我们的结果，我们提供了一个具有属性 (E) 的映射示例，该示例超出了众所周知的 Suzuki 映射类别。通过将 Thakur 迭代过程（以及许多其他迭代）与此示例连接起来，我们进行了比较数值实验。这揭示了一种允许可视化某些收敛行为的新方法。