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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We also present two examples that show the applicability and validity of our results.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, some common fixed point results for four mappings satisfying generalized contractive condition in a b−metric space are proved.
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Key Findings & Data:Advantage of our work in comparison with studies done in the context of b−metric is that, the b−metric function used in the theorems and results are not necessarily continuous.
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Conclusion & Impact:We also present two examples that show the applicability and validity of our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Common fixed point · b−metric space · compatible mappings
Abstract
In this paper, some common fixed point results for four mappings satisfying generalized contractive condition in a b−metric space are proved. Advantage of our work in comparison with studies done in the context of b−metric is that, the b−metric function used in the theorems and results are not necessarily continuous. So, our results extend and improve several comparable results obtained previously. We also present two examples that show the applicability and validity of our results.
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Cite This Article
ROSHAN, R., SHOBKOLAEİ, N., SEDGHİ, S., ABBAS, M. (2014). Common fixed point of four maps in b−metric spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 4, 613–624. https://ajindex.com/articles/669563