In this paper, we give an investigation of the asymptotics for the iterations associated with (c)-mappings acting on unbounded closed convex subsets of Banach spaces. In particular, the almost fixed point property (in short; AFPP) and conditions ensuring an ergodic type theorem for this class of mappings are established.

中文翻译：

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关于（c）映射迭代的渐近性

在本文中，我们对渐近性进行了研究，该渐近性涉及与作用于Banach空间的无界闭合凸子集的（c）映射相关的迭代。特别是，建立了几乎固定点的属性（简称AFPP）和确保此类映射的遍历类型定理的条件。