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arXiv · 2212.13549

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

Rafael Espínola·Maria Japón·Daniel Souza
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Abstract

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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Rafael Espínola, Maria Japón, Daniel Souza. 2022-12-27. Fixed points and common fixed points for orbit-nonexpansive mappings in metric spaces. https://arxiv.org/abs/2212.13549

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