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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
An illustrative example is also discussed.
📌 3 Key Takeaways
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Objective & Hypothesis:We prove a general common fixed point theorem for three operators in G-metric spaces satisfying a nonlinear contraction.
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Key Findings & Data:Also we prove the uniqueness of the fixed point, as well as studying the G-continuity of the fixed point.
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Conclusion & Impact:An illustrative example is also discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:G-metric space · Common fixed point · Nonlinear contraction
Abstract
We prove a general common fixed point theorem for three operators in G-metric spaces satisfying a nonlinear contraction. Also we prove the uniqueness of the fixed point, as well as studying the G-continuity of the fixed point. Moreover, we show that these maps satisfy properties Q and R. Our results extend some recent works. An illustrative example is also discussed.
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Cite This Article
CHUGH, R., RHOADES, B. E., AGGARWALAND, M., KADİAN, T. (2022). Properties Q and R for nonlinear contractions in g-metric spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 4, 581–594. https://ajindex.com/articles/530363