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arXiv · 2109.05728

Best proximity pairs in ultrametric spaces

K. Chaira·O. Dovgoshey·S. Lazaiz
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Abstract

In the present paper, we study the existence of best proximity pairs 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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K. Chaira, O. Dovgoshey, S. Lazaiz. 2021-09-13. Best proximity pairs in ultrametric spaces. https://arxiv.org/abs/2109.05728

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