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Fixed points of Kannan maps in modular metric spaces
Journal article   Open access  Peer reviewed

Fixed points of Kannan maps in modular metric spaces

Afrah A. N. Abdou and Department of Mathematics, Faculty of Sciences, University of Jeddah, Jeddah 21589, Saudi Arabia
AIMS mathematics, Vol.5(6), pp.6395-6403
01/01/2020
DOI: https://doi.org/10.3934/math.2020411

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. In this paper we study the existence of fixed points for contractive and nonexpansive Kannan maps in the setting of modular metric spaces.These are related to the successive approximations of fixed points (via orbits) which converge to the fixed points in the modular sense, which is weaker than the metric convergence.
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https://doi.org/10.3934/math.2020411View
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