Characterization of bipolar ultrametric spaces and fixed point theorems

Authors : Selim ÇETİN, Utku GÜRDAL

Pages : 185-196

Doi:10.15672/hujms.1024696

View : 21 | Download : 7

Publication Date : 2023-02-15

Article Type : Research Paper

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