Best proximity pairs in ultrametric spaces
General Topology
2021-09-14 v1
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 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.2109.05728,
title = {Best proximity pairs in ultrametric spaces},
author = {K. Chaira and O. Dovgoshey and S. Lazaiz},
journal= {arXiv preprint arXiv:2109.05728},
year = {2021}
}
Comments
12 pages. arXiv admin note: text overlap with arXiv:2104.06748