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arXiv · 2104.06748

Best proximity points in ultrametric spaces

Karim Chaira·Samih Lazaiz
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Abstract

In the present paper, we study the existence of best proximity pair in ultrametric spaces. We show, under suitable assumptions, that the proximinal pair $(A,B)$ has a best proximity pair. As a consequence we generalize a well known best approximation result and we derive some fixed point theorems. Moreover, we provide examples to illustrate the obtained results.

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Karim Chaira, Samih Lazaiz. 2021-04-14. Best proximity points in ultrametric spaces. https://arxiv.org/abs/2104.06748

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