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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 15 Issue: 1

Almost Contraction Mappings and $(S,T)$-Stability of Jungck Iteration in Cone Metric Spaces over Banach Algebras

Faruk Develi(Yildiz Technical University)0000-0003-4447-3582
Muttalip Özavsar(YILDIZ TECHNICAL UNIVERSITY)0000-0003-1471-6774
Pages
—
Publication Date
2023-06-30
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Finally, we prove some fixed point theorems, and obtain $(S,T)$-stability results of Jungck iterations for some mappings in CMSBA.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we first introduce almost contraction mappings for a pair of two mappings in cone metric spaces over Banach algebras (CMSBA).
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Key Findings & Data:Then, we observe that the class of such mappings in this setting contains those of many well known mappings.
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Conclusion & Impact:Finally, we prove some fixed point theorems, and obtain $(S,T)$-stability results of Jungck iterations for some mappings in CMSBA.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Banach algebra · cone metric space · jungck iteration

Abstract

In this work, we first introduce almost contraction mappings for a pair of two mappings in cone metric spaces over Banach algebras (CMSBA). Then, we observe that the class of such mappings in this setting contains those of many well known mappings. Finally, we prove some fixed point theorems, and obtain $(S,T)$-stability results of Jungck iterations for some mappings in CMSBA.

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Cite This Article

Develi, F., Özavsar, M. (2023). Almost Contraction Mappings and $(S,T)$-Stability of Jungck Iteration in Cone Metric Spaces over Banach Algebras. Turkish Journal of Mathematics and Computer Science, Volume: 15 Issue: 1. https://doi.org/10.47000/tjmcs.961439

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