- Hacettepe Journal of Mathematics and Statistics
- Vol: 52 Issue: 1
- Characterization of bipolar ultrametric spaces and fixed point theorems
Characterization of bipolar ultrametric spaces and fixed point theorems
Authors : Selim Çetin, Utku Gürdal
Pages : 185-196
Doi:10.15672/hujms.1024696
View : 12 | Download : 4
Publication Date : 2023-02-15
Article Type : Research
Abstract :Ultrametricity condition on bipolar metric spaces is considered and a geometric characterization of bipolar ultrametric spaces is given. Also embedding a bipolar ultrametric space into a pseudo-ultrametric space is discussed and, some conditions are found to be able to embed them into an ultrametric space. Finally, some fixed point theorems on bipolar ultrametric spaces are proven.Keywords : ultrametric space, fixed point theorem, bipolar metric space