Best proximity points in ultrametric spaces
Functional Analysis
2021-04-15 v1
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 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.
Keywords
Cite
@article{arxiv.2104.06748,
title = {Best proximity points in ultrametric spaces},
author = {Karim Chaira and Samih Lazaiz},
journal= {arXiv preprint arXiv:2104.06748},
year = {2021}
}