Characterization of bipolar ultrametric spaces and fixed point theorems

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

References

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