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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Our results improve and extend many results in literature.
📌 3 Key Takeaways
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Objective & Hypothesis:Rhoades, Fixed point theorems in generalized partially ordered G-metric spaces, {\it Mathematical and Computer Modeling,} \textbf{52}, 797-801, 2010] introduced the notion of $\Omega$-distance mappings and studied some existing fixed point results.
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Key Findings & Data:In this paper, we employ the notion of $\Omega$-distance and some functions defined on $[0,+\infty)$ to introduce some new nonlinear contractions of Suzuki types.
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Conclusion & Impact:Our results improve and extend many results 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-metric spaces, {\it Mathematical and Computer Modeling,} \textbf{52}, 797-801, 2010] introduced the notion of $\Omega$-distance mappings and studied some existing fixed point results. In this paper, we employ the notion of $\Omega$-distance and some functions defined on $[0,+\infty)$ to introduce some new nonlinear contractions of Suzuki types. We utilize our new notions to formulate and proved many fixed and common fixed point results. Our results improve and extend many results 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, Volume: 30 Issue: 1. https://ajindex.com/articles/1269426