Common Fixed Point Results on Modular F-Metric Spaces

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MANAV N., Turkoglu D.

3rd International Conference of Mathematical Sciences (ICMS), İstanbul, Türkiye, 4 - 08 Eylül 2019, cilt.2183, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2183
  • Doi Numarası: 10.1063/1.5136161
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Anahtar Kelimeler: F-metric space, fixed point theorems, modular metric spaces
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Gazi Üniversitesi Adresli: Evet

Özet

Jleli and Samet[1] introduced a new concept, named a F-metric space, as a generalization of the notion of metric space. We define new generalization of modular metric space as modular F-metric space. We compare the topology produced by modular metric and by modular F-metric, then cover some useful properties of this topology for fixed point theorems for future studies. In the end, we prove Banach contraction principle for modular F-metric space.