A look at nonexpansive mappings in non-Archimedean vector spaces
In a spherically complete ultrametric space every nonexpansive self-mapping T has a fixed point ̄x or a minimal invariant ball B(̄x, d(̄x, T(̄x)). We show how we can approximate this fixed center ̄x in a non-Archimedean vector space. And, we give a synthetic study for increasing mapping in non-Archi...
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| Format: | Article |
| Language: | English |
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Sciendo
2021-01-01
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| Series: | Moroccan Journal of Pure and Applied Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/mjpaa-2021-0013 |
| _version_ | 1818749590447325184 |
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| author | Lazaiz Samih |
| author_facet | Lazaiz Samih |
| author_sort | Lazaiz Samih |
| collection | DOAJ |
| description | In a spherically complete ultrametric space every nonexpansive self-mapping T has a fixed point ̄x or a minimal invariant ball B(̄x, d(̄x, T(̄x)). We show how we can approximate this fixed center ̄x in a non-Archimedean vector space. And, we give a synthetic study for increasing mapping in non-Archimedean local fields. |
| first_indexed | 2024-12-18T04:06:12Z |
| format | Article |
| id | doaj.art-940d7a9417924321925d1227699d1c3e |
| institution | Directory Open Access Journal |
| issn | 2351-8227 |
| language | English |
| last_indexed | 2024-12-18T04:06:12Z |
| publishDate | 2021-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Moroccan Journal of Pure and Applied Analysis |
| spelling | doaj.art-940d7a9417924321925d1227699d1c3e2022-12-21T21:21:35ZengSciendoMoroccan Journal of Pure and Applied Analysis2351-82272021-01-017117318110.2478/mjpaa-2021-0013A look at nonexpansive mappings in non-Archimedean vector spacesLazaiz Samih0LaSMA Laboratory, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, Morocco.In a spherically complete ultrametric space every nonexpansive self-mapping T has a fixed point ̄x or a minimal invariant ball B(̄x, d(̄x, T(̄x)). We show how we can approximate this fixed center ̄x in a non-Archimedean vector space. And, we give a synthetic study for increasing mapping in non-Archimedean local fields.https://doi.org/10.2478/mjpaa-2021-0013fixed centersincreasing mappingsnonexpansive mappingspseudo-orderultrametric spaces47h0932p05 |
| spellingShingle | Lazaiz Samih A look at nonexpansive mappings in non-Archimedean vector spaces Moroccan Journal of Pure and Applied Analysis fixed centers increasing mappings nonexpansive mappings pseudo-order ultrametric spaces 47h09 32p05 |
| title | A look at nonexpansive mappings in non-Archimedean vector spaces |
| title_full | A look at nonexpansive mappings in non-Archimedean vector spaces |
| title_fullStr | A look at nonexpansive mappings in non-Archimedean vector spaces |
| title_full_unstemmed | A look at nonexpansive mappings in non-Archimedean vector spaces |
| title_short | A look at nonexpansive mappings in non-Archimedean vector spaces |
| title_sort | look at nonexpansive mappings in non archimedean vector spaces |
| topic | fixed centers increasing mappings nonexpansive mappings pseudo-order ultrametric spaces 47h09 32p05 |
| url | https://doi.org/10.2478/mjpaa-2021-0013 |
| work_keys_str_mv | AT lazaizsamih alookatnonexpansivemappingsinnonarchimedeanvectorspaces AT lazaizsamih lookatnonexpansivemappingsinnonarchimedeanvectorspaces |