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Journals / Turkish Journal of Mathematics and Computer Science / 2022 / Volume: 14 Issue: 2

Some Common Fixed Point Theorems in Bipolar Metric Spaces

Ali Mutlu(MANISA CELAL BAYAR UNIVERSITY)0000-0002-6963-4381
Kübra Özkan(MANISA CELAL BAYAR UNIVERSITY)0000-0002-8014-1713
Utku Gürdal(BURDUR MEHMET AKİF ERSOY UNIVERSITY)0000-0003-2887-2188
Pages
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Publication Date
2022-12-30
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AI Summary & Key Takeaways

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

Afterwards, by using this notion, we prove some common fixed point theorems which show the existence and uniqueness of common fixed point for covariant and contravariant mappings satisfying contractive type conditions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we introduce the notion of commutativity for covariant and contravariant mappings in bipolar metric spaces.
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Key Findings & Data:In this article, we introduce the notion of commutativity for covariant and contravariant mappings in bipolar metric spaces.
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Conclusion & Impact:Afterwards, by using this notion, we prove some common fixed point theorems which show the existence and uniqueness of common fixed point for covariant and contravariant mappings satisfying contractive type conditions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bipolar metric space · common fixed points · commuting mappings

Abstract

In this article, we introduce the notion of commutativity for covariant and contravariant mappings in bipolar metric spaces. Afterwards, by using this notion, we prove some common fixed point theorems which show the existence and uniqueness of common fixed point for covariant and contravariant mappings satisfying contractive type conditions.

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Cite This Article

Mutlu, A., Özkan, K., Gürdal, U. (2022). Some Common Fixed Point Theorems in Bipolar Metric Spaces. Turkish Journal of Mathematics and Computer Science, Volume: 14 Issue: 2. https://doi.org/10.47000/tjmcs.1099118

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