Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 43 Issue: 4

Properties Q and R for nonlinear contractions in g-metric spaces

Renu Chugh(DEPARTMENT OF MATHEMATICS, M.D. UNIVERSITY, ROHTAK)
B. E. Rhoades(DEPARTMENT OF MATHEMATICS, INDIANA UNIVERSITY)
Madhu Aggarwa(DEPARTMENT OF MATHEMATICS, INDIANA UNIVERSITY)
Tamanna Kadian(DEPARTMENT OF MATHEMATICS, M.D. UNIVERSITY, ROHTAK)
Sayfa
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Yayın Tarihi
2014-08-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

An illustrative example is also discussed.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We prove a general common fixed point theorem for three operators in G-metric spaces satisfying a nonlinear contraction.
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Temel Bulgular & Veri:Also we prove the uniqueness of the fixed point, as well as studying the G-continuity of the fixed point.
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Sonuç & Katkı:An illustrative example is also discussed.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:G-metric space · Common fixed point · Nonlinear contraction

Abstract

We prove a general common fixed point theorem for three operators in G-metric spaces satisfying a nonlinear contraction. Also we prove the uniqueness of the fixed point, as well as studying the G-continuity of the fixed point. Moreover, we show that these maps satisfy properties Q and R. Our results extend some recent works. An illustrative example is also discussed.

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Bu Makaleye Atıf Yap

Chugh, R., Rhoades, B. E., Aggarwa, M., Kadian, T. (2014). Properties Q and R for nonlinear contractions in g-metric spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 4. https://ajindex.com/articles/1403386

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