论文标题

固定点和公共固定点在度量空间中

Fixed points and common fixed points for orbit-nonexpansive mappings in metric spaces

论文作者

Espínola, Rafael, Japón, Maria, Souza, Daniel

论文摘要

在本文中,我们对操作员家族的要素介绍了一个交叉条件,该条件使我们能够在固定点和公共固定点上收集许多结果,并为单一和公制空间定义的映射家族收集。这里研究的创新概念涉及有关轨道的非跨性别条件,以及仅取决于公制空间封闭球的特征的假设。

In this paper we introduce an interlacing condition on the elements of a family of operators that allows us to gather together a number of results on fixed points and common fixed points for single and families of mappings defined on metric spaces. The innovative concept studied here deals with nonexpansivity conditions with respect to orbits and under assumptions that only depend on the features of the closed balls of the metric space.

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