Dergiler / Hacettepe Journal of Mathematics and Statistics / 2016 / Cilt: 45 - Sayı: 4

On quasi-contractions in metric spaces with a graph

Sayfa
1033–1047
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we list someconsequences of our theorem where either the contractive condition isreplaced with a stronger one or the underlying space is changed to acomplete metric space or a complete cone metric space.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present work, we introduceG -quasi-contractionsusing directedgraphs in metric spaces with a graph and we show that this contrac-tion generalizes a large number of contractions.the existence of xed points forWe then investigateG -quasi-contractionsunder two dif-ferent conditions and discuss the main theorem.
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Temel Bulgular & Veri:In the present work, we introduceG -quasi-contractionsusing directedgraphs in metric spaces with a graph and we show that this contrac-tion generalizes a large number of contractions.the existence of xed points forWe then investigateG -quasi-contractionsunder two dif-ferent conditions and discuss the main theorem.
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Sonuç & Katkı:Finally, we list someconsequences of our theorem where either the contractive condition isreplaced with a stronger one or the underlying space is changed to acomplete metric space or a complete cone metric space.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:G e -Quasi-contraction · Fixed point · (C)-Graph

Abstract

In the present work, we introduceG -quasi-contractionsusing directedgraphs in metric spaces with a graph and we show that this contrac-tion generalizes a large number of contractions.the existence of xed points forWe then investigateG -quasi-contractionsunder two dif-ferent conditions and discuss the main theorem. Finally, we list someconsequences of our theorem where either the contractive condition isreplaced with a stronger one or the underlying space is changed to acomplete metric space or a complete cone metric space.

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Bu Makaleye Atıf Yap

Fallahi, K., Aghanians, A. (2022). On quasi-contractions in metric spaces with a graph. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 4, 1033–1047. https://ajindex.com/articles/530111

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