Dergiler / Gazi University Journal of Science / 2017 / Cilt: 30 - Sayı: 1

SOME FIXED POINT AND COMMON FIXED POINT RESULTS THROUGH Ω-DISTANCE UNDER NONLINEAR CONTRACTIONS

Sayfa
293–302
Yayın Tarihi
2017-03-14
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

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Bu Makaleye Atıf Yap

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

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Kaynakça (1)

  1. 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]