On the metrizability of suprametric space
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 supram...
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| Format: | Article |
| Language: | English |
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Sciendo
2025-03-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.2478/auom-2025-0010 |
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| _version_ | 1849702604023529472 |
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| author | Karapınar Erdal Cvetković Marija |
| author_facet | Karapınar Erdal Cvetković Marija |
| author_sort | Karapınar Erdal |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bb9b00cf5878433bb64bc8dfd0e2da7b |
| institution | DOAJ |
| issn | 1844-0835 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj-art-bb9b00cf5878433bb64bc8dfd0e2da7b2025-08-20T03:17:35ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352025-03-0133120121310.2478/auom-2025-0010On the metrizability of suprametric spaceKarapınar Erdal0Cvetković Marija11Department of Mathematics, Atılım University, I˙ncek, AnkaraTurkey; Department of Medical Research, China; Medical University Hospital China Medical University, 40402Taichung, Taiwan2Faculty of Sciences and MathematicsUniversity of NišVišegradska 33 18000 NišSerbiaThe 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.https://doi.org/10.2478/auom-2025-0010elementaryoperatorscompact operatorsorthogonalitygateaux derivativeprimary 46g05, 46l05secondary 47a30, 47b47 |
| spellingShingle | Karapınar Erdal Cvetković Marija On the metrizability of suprametric space Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica elementary operators compact operators orthogonality gateaux derivative primary 46g05, 46l05 secondary 47a30, 47b47 |
| title | On the metrizability of suprametric space |
| title_full | On the metrizability of suprametric space |
| title_fullStr | On the metrizability of suprametric space |
| title_full_unstemmed | On the metrizability of suprametric space |
| title_short | On the metrizability of suprametric space |
| title_sort | on the metrizability of suprametric space |
| topic | elementary operators compact operators orthogonality gateaux derivative primary 46g05, 46l05 secondary 47a30, 47b47 |
| url | https://doi.org/10.2478/auom-2025-0010 |
| work_keys_str_mv | AT karapınarerdal onthemetrizabilityofsuprametricspace AT cvetkovicmarija onthemetrizabilityofsuprametricspace |