Finally, we list some consequences of our theorem where either the contractive condition is replaced with a stronger one or the underlying space is changed to a complete metric space or a complete cone metric space.
📌 3 Key Takeaways
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Objective & Hypothesis:In the present work, we introduce G -quasi-contractions using directed graphs in metric spaces with a graph and we show that this contrac- tion generalizes a large number of contractions. the existence of xed points for We then investigate G -quasi-contractions under two dif- ferent conditions and discuss the main theorem.
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Key Findings & Data:In the present work, we introduce G -quasi-contractions using directed graphs in metric spaces with a graph and we show that this contrac- tion generalizes a large number of contractions. the existence of xed points for We then investigate G -quasi-contractions under two dif- ferent conditions and discuss the main theorem.
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Conclusion & Impact:Finally, we list some consequences of our theorem where either the contractive condition is replaced with a stronger one or the underlying space is changed to a complete 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 introduce G -quasi-contractions using directed graphs in metric spaces with a graph and we show that this contrac- tion generalizes a large number of contractions. the existence of xed points for We then investigate G -quasi-contractions under two dif- ferent conditions and discuss the main theorem. Finally, we list some consequences of our theorem where either the contractive condition is replaced with a stronger one or the underlying space is changed to a complete metric space or a complete cone metric space.
Fallahi, K., Aghanians, A. (2016). On quasi-contractions in metric spaces with a graph. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 4. https://ajindex.com/articles/1403118