Best proximity points in ultrametric spaces

Autor:	Chaira, Karim, Lazaiz, Samih
Rok vydání:	2021
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2104.06748 Zobrazit plný text záznamu View this record from Arxiv