On the metrizability of suprametric space

Erdal Karapınar; Marija Cvetković

doi:10.2478/auom-2025-0010

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On the metrizability of suprametric space

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 33 (2025): Issue 1 (March 2025)

By: Erdal Karapınar and Marija Cvetković

Open Access

|Apr 2025

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.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2025-0010 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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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

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© 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.

Volume 33 (2025): Issue 1 (March 2025)