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Dergiler / 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
Sayfa
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Yayın Tarihi
2023-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:Then, we observe that the class of such mappings in this setting contains those of many well known mappings.
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Sonuç & Katkı:Finally, we prove some fixed point theorems, and obtain $(S,T)$-stability results of Jungck iterations for some mappings in CMSBA.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (20)

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