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.
Authors
- Marija Cvetković (ORCID: https://orcid.org/0000-0003-0691-3428)
- Erdal Karapınar (ORCID: https://orcid.org/0000-0002-6798-3254)
Institutions
- University of Nis (RS)
- China Medical University (TW)
- China Medical University Hospital (TW)
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
- Field-Weighted Citation Impact
- 0.00