Fixed Points and Common Fixed Points for Orbit-Nonexpansive Mappings in Metric Spaces

被引：0
|
作者：
Rafael Espínola
Maria Japón
Daniel Souza
机构：
[1] Universidad de Sevilla,Departamento de Análisis Matemático
来源：
Mediterranean Journal of Mathematics | 2023年 / 20卷
关键词：
Metric spaces; metric normal structure; orbits; nonexpansive operators; convexity structure; action of groups; common fixed points; 47H09; 47H10; 47H20; 54E40;
D O I：
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摘要：
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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