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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 73 Issue: 1

On $\theta$-convex contractive mappings with application to integral equations

Merve Özkan(ATATURK UNIVERSITY)0000-0002-7213-4070
Murat Özdemir(ATATURK UNIVERSITY)0000-0002-4928-3115
İsa Yildirim(ATATURK UNIVERSITY)0000-0001-6165-716X
Pages
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Publication Date
2024-03-16
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AI Summary & Key Takeaways

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

Consequently, our results encompass numerous generalizations of the Banach contraction principle on metric space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The fundamental goal of our paper is to study $\theta$-convex contractive mappings in metric spaces.
📊
Key Findings & Data:We demonstrate some fixed point results for such mappings.
💡
Conclusion & Impact:Consequently, our results encompass numerous generalizations of the Banach contraction principle on metric space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Integral equation · fixed point · convex contraction

Abstract

The fundamental goal of our paper is to study $\theta$-convex contractive mappings in metric spaces. We demonstrate some fixed point results for such mappings. Also, we give an application to integral equations of our results. Consequently, our results encompass numerous generalizations of the Banach contraction principle on metric space.

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Cite This Article

Özkan, M., Özdemir, M., Yildirim, İ. (2024). On $\theta$-convex contractive mappings with application to integral equations. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 73 Issue: 1. https://doi.org/10.31801/cfsuasmas.1302945

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