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Dergiler / Turkish Journal of Mathematics and Computer Science / 2021 / Cilt: 13 - Sayı: 1

Fixed Point Results for Zamfirescu Mappings in A-metric Spaces

İsa YİLDİRİM
Sayfa
221–225
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

An appropriate example is also given.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present paper, we extend the Zamfirescu results [9] to $A$-metric spaces.
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Temel Bulgular & Veri:The established results carry some well-known results from the literature (see [2,3,5,9]) to $A$-metric spaces.
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Sonuç & Katkı:An appropriate example is also given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$A$-metric spaces · Zamfirescu mappings · fixed point

Abstract

In the present paper, we extend the Zamfirescu results [9] to $A$-metric spaces. Firstly, we define the notion of Zamfirescu mapping in $A$-metric spaces. After, we also obtain a fixed point theorem for such mappings. The established results carry some well-known results from the literature (see [2,3,5,9]) to $A$-metric spaces. An appropriate example is also given.

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Bu Makaleye Atıf Yap

YİLDİRİM, İ. (2021). Fixed Point Results for Zamfirescu Mappings in A-metric Spaces. Turkish Journal of Mathematics and Computer Science, Cilt: 13 - Sayı: 1, 221–225. https://ajindex.com/articles/374652

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Kaynakça (9)

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  4. Fernandez, J., Saelee, S., Saxena, K., Malviya, N., Kumam, P., The A-cone metric space over Banach algebra with applications, Cogent Math., 4(1)(2017)
  5. Kannan, R., Some results on fixed points, Bull. Calc. Math. Soc., 60(1)(1968), 71–77
  6. Mustafa, Z., Sims, B., A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7(2)(2006), 289–297
  7. Sedghi, S., Shobe, N., Aliouche, A., A generalization of fixed point theorems in S -metric spaces, Mat. Vesn., 64(3)(2012), 258–266
  8. Sedghi, S., Shobe, N, Zhou, H., A common fixed point theorem in D*-metric spaces, Fixed Point Theory Appl., Article Number:27906(2007)
  9. Zamfirescu, T., Fix point theorems in metric spaces, Arch. Math., 23(1972), 292–298.