Our results improve and extend manyresults in literature.
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Our results improve and extend manyresults in literature.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:2010 Verileri
⚙️Değişkenler: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.
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
Prof. Thabet Abdeljawad Prince Sultan University Riyadh, Saudi Arabia Email: [email protected] Professor Mihai Postolache Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, Romania email: [email protected] Prof. Nedal Tahat Department of Mathematics, Hashemite University email: [email protected]