common fixed point results on Modular F-metric spaces

BİLGİLİ GÜNGÖR N., TÜRKOĞLU A. D.

3. internetional conference of mathematical sciences, 4 - 08 September 2019 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1063/1.5136161
  • Keywords: F-metric space, fixed point theorems, modular metric spaces
  • Gazi University Affiliated: Yes

Abstract

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.