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, Turkey, 4 - 08 September 2019, vol.2183 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 2183
  • Doi Number: 10.1063/1.5136161
  • City: İstanbul
  • Country: Turkey

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.