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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Volume: 49 Issue: 6

Almost contraction mappings in cone $b$-metric spaces over Banach algebras

Faruk Develi(YILDIZ TECHNICAL UNIVERSITY, .)0000-0003-4447-3582
Muttalip Özavşar(YILDIZ TECHNICAL UNIVERSITY, .)0000-0003-1471-6774
Sayfa
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Yayın Tarihi
2020-12-08
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In addition, we apply our results to some applications to illustrate their usability.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We introduce the condition of being Cauchy for a sequence in cone $b$-metric spaces (cbms) over Banach algebras.
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Temel Bulgular & Veri:Based on this result, we extend almost mappings in cone metric spaces over Banach algebras to cbms over Banach algebras and prove the related fixed point theorem.
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Sonuç & Katkı:In addition, we apply our results to some applications to illustrate their usability.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Cone b-metric spaces over Banach algebras · spectral radius · common fixed point

Abstract

We introduce the condition of being Cauchy for a sequence in cone $b$-metric spaces (cbms) over Banach algebras. Based on this result, we extend almost mappings in cone metric spaces over Banach algebras to cbms over Banach algebras and prove the related fixed point theorem. In addition, we apply our results to some applications to illustrate their usability.

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Bu Makaleye Atıf Yap

Develi, F., Özavşar, M. (2020). Almost contraction mappings in cone $b$-metric spaces over Banach algebras. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 6. https://doi.org/10.15672/hujms.486939

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