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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Our results improve and extend manyresults in literature.
📌 3 Key Takeaways
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Objective & Hypothesis:Rhoades,Fixed point theorems in generalized partially ordered G-metricspaces, {\it Mathematical and Computer Modeling,} \textbf{52},797-801, 2010] introduced the notion of $\Omega$-distance mappingsand studied some existing fixed point results.
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Key Findings & Data:In this paper, weemploy the notion of $\Omega$-distance and some functions defined on$[0,+\infty)$ to introduce some new nonlinear contractions of Suzukitypes.
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Conclusion & Impact:Our results improve and extend manyresults in literature.
🔬Design:Modeling & Simulation
📍Scope:2010 Verileri
⚙️Variables:Omega-Distance · Fixed Point Theory · G-Metric Space
Abstract
Saadati et al [R. Saadati, S.M. Vaezpour, P. Vetro and B.E. Rhoades,Fixed point theorems in generalized partially ordered G-metricspaces, {\it Mathematical and Computer Modeling,} \textbf{52},797-801, 2010] introduced the notion of $\Omega$-distance mappingsand studied some existing fixed point results. In this paper, weemploy the notion of $\Omega$-distance and some functions defined on$[0,+\infty)$ to introduce some new nonlinear contractions of Suzukitypes. We utilize our new notions to formulate and proved many fixedand common fixed point results. Our results improve and extend manyresults in literature.
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Cite This Article
Abodayeh, K., Shatanawi, W., Bataihah, A., Ansari, A. (2017). SOME FIXED POINT AND COMMON FIXED POINT RESULTS THROUGH Ω-DISTANCE UNDER NONLINEAR CONTRACTIONS. Gazi University Journal of Science, Cilt: 30 - Sayı: 1, 293–302. https://ajindex.com/articles/254782