For a certain class of mean nonexpansive self-mappings of complete metric spaces, we show that all the iterates of each mapping in this class converge, uniformly on bounded subsets, to its unique fixed point.

中文翻译：

---

平均非膨胀映射的不动点结果

对于某类完整度量空间的平均非膨胀自映射，我们表明该类中每个映射的所有迭代都在有界子集上一致地收敛到其唯一的不动点。