On the metrizability of suprametric space

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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Publication Details

Journal
Analele Universităţii "Ovidius" Constanţa. Seria Matematică
Published
2025-03-01
DOI
https://doi.org/10.2478/auom-2025-0010
Primary Topic
Fixed Point Theorems Analysis
Type
article
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On the metrizability of suprametric space

Marija Cvetković, Erdal Karapınar
Analele Universităţii "Ovidius" Constanţa. Seria Matematică
Fixed Point Theorems Analysis
article

On the metrizability of suprametric space

Marija Cvetković, Erdal Karapınar
article en

Abstract

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.

Analele Universităţii "Ovidius" Constanţa. Seria MatematicăVol. 33(1)
University of Nis (RS), China Medical University (TW), China Medical University Hospital (TW)
Openalex Percentile: Top 55%
Fixed Point Theorems Analysis
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