This paper investigates fixed points of Reich-Suzuki-type nonexpansive mappings in the context of uniformly convex Banach spaces through an iterative method. Under some appropriate situations, some strong and weak convergence theorems are established. To support our results, a new example of Reich-Suzuki-type nonexpansive mappings is presented which exceeds the class of Suzuki-type nonexpansive mappings. The presented results extend some recently announced results of current literature.

中文翻译：

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Banach空间中一类广义非扩张映象的一些收敛性结果

本文通过迭代方法研究了均匀凸Banach空间背景下Reich-Suzuki型非扩张映象的不动点。在某些适当的情况下，建立了一些强收敛定理和弱收敛定理。为了支持我们的结果，提出了一个Reich-Suzuki型非膨胀映射的新示例，该示例超出了Suzuki型非膨胀映射的类别。提出的结果扩展了当前文献的一些最近宣布的结果。