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Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 1

Generalizations of metrics and partial metrics

Ralph KOPPERMAN
Homeira PAJOOHESH
Pages
9–14
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

In this article we show that much of the theory of metric spaces, including the Banach fixed point theorem extends to these spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In [14] $k$-metric spaces were defined for certain $\ell$-group applications, by weakening the metric triangle inequality.
📊
Key Findings & Data:In [14] $k$-metric spaces were defined for certain $\ell$-group applications, by weakening the metric triangle inequality.
💡
Conclusion & Impact:In this article we show that much of the theory of metric spaces, including the Banach fixed point theorem extends to these spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:partial metrics · variety of $\ell$-groups · $k$-metrics

Abstract

In [14] $k$-metric spaces were defined for certain $\ell$-group applications, by weakening the metric triangle inequality. In this article we show that much of the theory of metric spaces, including the Banach fixed point theorem extends to these spaces.

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Cite This Article

KOPPERMAN, R., PAJOOHESH, H. (2022). Generalizations of metrics and partial metrics. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 1, 9–14. https://ajindex.com/articles/529929

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