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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 5

FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES

Feng GU
Sayfa
495–500
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The obtained results in thispaper extend the recent relative results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we introduce a new third power type contractive condition in the G-metric spaces, and several new fixed point theorems areestablished in complete G-metric space.
📊
Temel Bulgular & Veri:In this paper, we introduce a new third power type contractive condition in the G-metric spaces, and several new fixed point theorems areestablished in complete G-metric space.
💡
Sonuç & Katkı:The obtained results in thispaper extend the recent relative results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:G-metric space · third power type contraction mappings · fixed point.

Abstract

In this paper, we introduce a new third power type contractive condition in the G-metric spaces, and several new fixed point theorems areestablished in complete G-metric space. The obtained results in thispaper extend the recent relative results.

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Bu Makaleye Atıf Yap

GU, F. (2022). FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 5, 495–500. https://ajindex.com/articles/530409

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Kaynakça (10)

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  4. Mustafa, Z., Awawdeh, F. and Shatanawi, W. Fixed point theorem for expansive mappings in G-metric spaces, Int. J. Contemp. Math. Sciences 5 No 50, 2463–2472, 2010.
  5. Mustafa, Z., Obiedat, H. and Awawdeh, F. Some fixed point theorems for mappings on complete G-metric spaces, Fixed Point Theory and Applications 2008, Article ID 189870, 200 Mustafa, Z., Shatanawi, W. and Bataineh, M. Existence of fixed points results in G-metric spaces, International Journal of Mathematics and Mathematical Sciences 2009, Article ID 283028, 2009.
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  7. Mustafa, Z. and Sims, B. A new approach to a generalized metric space, J. Nonlinear Convex Anal. 7 No 2, 289–297, 2006.
  8. Mustafa, Z. and Sims,B. Fixed point theorems for contractive mappings in complete Gmetric spaces, Fixed Point Theory and Applications 2009, Article ID 917175, 2009
  9. Shatanawi, W. Fixed point theory for contractive mappings satisfying Φ-maps in G-metric spaces, Fixed Point Theory and Applications 2010, Article ID 181650, 2010.
  10. Vats, R. K., Kumar, S. and Sihag, V. Some common fixed point theorem for compatible mappings of type (A) in complete G-metric space, Advances in Fuzzy Mathematics, 6 No 1, 27–38, 2011.