Research article

Fixed points of Kannan maps in modular metric spaces

  • Received: 01 July 2020 Accepted: 30 July 2020 Published: 12 August 2020
  • MSC : 46B20, 47H10, 47E10

  • 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.

    Citation: Afrah. A. N. Abdou. Fixed points of Kannan maps in modular metric spaces[J]. AIMS Mathematics, 2020, 5(6): 6395-6403. doi: 10.3934/math.2020411

    Related Papers:

  • 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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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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