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Journals / Fundamental Journal of Mathematics and Applications / 2021 / Cilt: 4 - Sayı: 3

Some Fixed Point Theorems on $b$-$\theta$-metric spaces via $b$-simulation Functions

Esra DALAN YILDIRIM
Ayşegül ÇAKSU GÜLER
Oya Bedre ÖZBAKIR
Pages
159–164
Publication Date
2021-09-30
DOI
—
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AI Summary & Key Takeaways

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

Also, we discuss some fixed point results in relation to existing ones.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We introduce the concept of $b$-$\theta$-metric space as a generalization of $\theta$-metric space and investigate some of its properties.
📊
Key Findings & Data:Then, we establish a fixed point theorem in $b$-$\theta$-metric spaces via $b$-simulation functions.
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Conclusion & Impact:Also, we discuss some fixed point results in relation to existing ones.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:b-metric · b-simulation function · $\theta$-metric

Abstract

We introduce the concept of $b$-$\theta$-metric space as a generalization of $\theta$-metric space and investigate some of its properties. Then, we establish a fixed point theorem in $b$-$\theta$-metric spaces via $b$-simulation functions. Thus, we deduce Banach type fixed point in such spaces. Also, we discuss some fixed point results in relation to existing ones.

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Cite This Article

YILDIRIM, E. D., GÜLER, A. Ç., ÖZBAKIR, O. B. (2021). Some Fixed Point Theorems on $b$-$\theta$-metric spaces via $b$-simulation Functions. Fundamental Journal of Mathematics and Applications, Cilt: 4 - Sayı: 3, 159–164. https://ajindex.com/articles/759294

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References (8)

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