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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 1

Characterization of bipolar ultrametric spaces and fixed point theorems

Selim Çetin(BURDUR MEHMET AKİF ERSOY UNIVERSITY)0000-0002-9017-1465
Utku Gürdal(BURDUR MEHMET AKİF ERSOY UNIVERSITY)0000-0003-2887-2188
Pages
—
Publication Date
2023-02-15
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, some fixed point theorems on bipolar ultrametric spaces are proven.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Ultrametricity condition on bipolar metric spaces is considered and a geometric characterization of bipolar ultrametric spaces is given.
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Key Findings & Data: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.
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Conclusion & Impact:Finally, some fixed point theorems on bipolar ultrametric spaces are proven.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:ultrametric space · fixed point theorem · bipolar metric space

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.

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Cite This Article

Çetin, S., Gürdal, U. (2023). Characterization of bipolar ultrametric spaces and fixed point theorems. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 1. https://doi.org/10.15672/hujms.1024696

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