Araştırma Makalesi

A fixed point theorem for mappings with an F-contractive iterate

Cilt: 3 Sayı: 4 30 Aralık 2019
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A fixed point theorem for mappings with an F-contractive iterate

Abstract

In this paper, we introduce the notion of $F$-contraction in the setting of complete metric space and we prove a fixed point theorem for $F$-contractive iteration.

Keywords

Kaynakça

  1. M. Abbas, M. Berzig, T. Nazir, E. Karapinar, Iterative Approximation of Fixed Points for Presic Type F-Contraction Operators,University Politehnica Of Bucharest Scientific Bulletin-Series A-Applied Mathematics And Physics, 78(2) (2016), 147-160.
  2. B. Alqahtani, A. Fulga, E. Karapinar, A fixed point result with a contractive iterate at a point, Mathematics, 7(7) (2019), 606.
  3. B. Alqahtani, A. Fulga, E. Karapinar, P. S. Kumari, Sehgal Type Contractions on Dislocated Spaces, Mathematics, 7(2) (2019), 153.
  4. B. Alqahtani, A. Fulga, E. Karapınar, Sehgal Type Contractions on b-Metric Space, Symmetry, 10 (2018), 560.
  5. H. H. Alsulami, E. Karapinar, H. Piri, Fixed Points of Modified F-Contractive Mappings in Complete Metric-Like Spaces, Journal of Function Spaces, 2015 (2015), Article ID 270971, 9 pages.
  6. H.H. Alsulami, E. Karapınar, F. Khojasteh, A.F. Roldán-López-de-Hierro, A proposal to the study of contractions in quasi-metric spaces, Discrete Dynamics in Nature and Society, Article ID 269286, (2014), 10 pages
  7. H. Aydi, E. Karapinar, H. Yazidi, Modified F-Contractions via alpha-Admissible Mappings and Application to Integral Equations, Filomat, 31(5) (2017), 1141- 148. S.
  8. Banach, Sur les op\'{e}rations dans les ensembles abstraits et leur application aux \'{e}quations int\'{e}grales, Fundamenta Mathematicae, 3 (1922), 133--181.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2019

Gönderilme Tarihi

19 Ağustos 2019

Kabul Tarihi

7 Kasım 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 3 Sayı: 4

Kaynak Göster

Cited By