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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
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 Key Takeaways
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Objective & Hypothesis: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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Key Findings & Data: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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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article
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