Best Proximity Pairs in Ultrametric Spaces

Best Proximity Pairs in Ultrametric Spaces

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,...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:P-adic numbers, ultrametric analysis, and applications ultrametric analysis, and applications, 2021-10, Vol.13 (4), p.255-265
Hauptverfasser: Chaira, Karim, Dovgoshey, Oleksiy, Lazaiz, Samih
Format: Artikel
Sprache:eng
Schlagworte:
14/34
639/766/189
639/766/530
639/766/747
Algebra
Fixed points (mathematics)
Mathematics
Mathematics and Statistics
Proximity
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:2070-0466
2070-0474
DOI:10.1134/S2070046621040014