Common fixed point results on modular ℱ-metric spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Conference object 01 Jan 2019 Turkey Publisher:AIP PublishingJournal:AIP Conference Proceedings, volume 2,183, page 60,006 (issn: 0094-243X,

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Authors: Manav, Nesrin; Türkoğlu, Duran;

doi: 10.1063/1.5136161

handle: 20.500.12415/2024

Common fixed point results on modular ℱ-metric spaces

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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.

Country

Turkey

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Keywords

F -metric space, fixed point theorems, modular metric spaces

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