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On the metrizability of suprametric space Cover

Abstract

The question of metrizability of suprametric space is answered positively. The observed metric coincides with a suprametric in a way that convergence and continuity are preserved between suprametric space and associated metric space along with the propery of a Cauchy sequence. Consequently, a suprametric space is complete if and only if associated metric space is complete. Fixed point theorems in suprametric space are obtained as a corollary of well-known fixed point results.

DOI: https://doi.org/10.2478/auom-2025-0010 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 201 - 214
Submitted on: Jan 1, 2024
Accepted on: Apr 7, 2024
Published on: Apr 2, 2025
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2025 Erdal Karapınar, Marija Cvetković, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.