Penot’s Compactness Property in Ultrametric Spaces with an Application
In this work, we investigate the compactness property in the sense of Penot in ultrametric spaces. Then, we show that spherical completeness is exactly the Penot’s compactness property introduced for convexity structures. The spherical completeness property misled some mathematicians to it to hyperc...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5542843 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566038791716864 |
|---|---|
| author | Mostafa Bachar Messaoud Bounkhel Samih Lazaiz |
| author_facet | Mostafa Bachar Messaoud Bounkhel Samih Lazaiz |
| author_sort | Mostafa Bachar |
| collection | DOAJ |
| description | In this work, we investigate the compactness property in the sense of Penot in ultrametric spaces. Then, we show that spherical completeness is exactly the Penot’s compactness property introduced for convexity structures. The spherical completeness property misled some mathematicians to it to hyperconvexity in metric spaces. As an application, we discuss some fixed point results in spherically complete ultrametric spaces. |
| format | Article |
| id | doaj-art-ff13243772b34b328a25591113a1ed65 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ff13243772b34b328a25591113a1ed652025-02-03T01:05:26ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55428435542843Penot’s Compactness Property in Ultrametric Spaces with an ApplicationMostafa Bachar0Messaoud Bounkhel1Samih Lazaiz2Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, MoroccoIn this work, we investigate the compactness property in the sense of Penot in ultrametric spaces. Then, we show that spherical completeness is exactly the Penot’s compactness property introduced for convexity structures. The spherical completeness property misled some mathematicians to it to hyperconvexity in metric spaces. As an application, we discuss some fixed point results in spherically complete ultrametric spaces.http://dx.doi.org/10.1155/2021/5542843 |
| spellingShingle | Mostafa Bachar Messaoud Bounkhel Samih Lazaiz Penot’s Compactness Property in Ultrametric Spaces with an Application Journal of Function Spaces |
| title | Penot’s Compactness Property in Ultrametric Spaces with an Application |
| title_full | Penot’s Compactness Property in Ultrametric Spaces with an Application |
| title_fullStr | Penot’s Compactness Property in Ultrametric Spaces with an Application |
| title_full_unstemmed | Penot’s Compactness Property in Ultrametric Spaces with an Application |
| title_short | Penot’s Compactness Property in Ultrametric Spaces with an Application |
| title_sort | penot s compactness property in ultrametric spaces with an application |
| url | http://dx.doi.org/10.1155/2021/5542843 |
| work_keys_str_mv | AT mostafabachar penotscompactnesspropertyinultrametricspaceswithanapplication AT messaoudbounkhel penotscompactnesspropertyinultrametricspaceswithanapplication AT samihlazaiz penotscompactnesspropertyinultrametricspaceswithanapplication |