In this work, we study the convergence of a new faster iteration in which two -nonexpansive mappings are involved in the setting of uniformly convex Banach spaces with a directed graph. Moreover, by constructing a numerical example, we show the fastness of our iteration procedure over other existing iteration procedures in the literature.

中文翻译：

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通过快速迭代过程实现两个非扩张映射的公共不动点

在这项工作中，我们研究了一个新的更快迭代的收敛性，其中两个-非膨胀映射涉及有向图的一致凸Banach空间的设置。此外，通过构造一个数值示例，我们展示了迭代过程相对于文献中其他现有迭代过程的快速性。