Dergiler / Gazi University Journal of Science / 2026 / Volume: 30 Issue: 1

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

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

Our results improve and extend many results in literature.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Our results improve and extend many results 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-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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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, Volume: 30 Issue: 1. https://ajindex.com/articles/1269426

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Kaynakça (9)

  1. Prof. Thabet Abdeljawad
  2. Prince Sultan University Riyadh, Saudi Arabia
  3. Email: [email protected]
  4. Professor Mihai Postolache
  5. Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, Romania
  6. email: [email protected]
  7. Prof. Nedal Tahat
  8. Department of Mathematics, Hashemite University
  9. email: [email protected]