On limit sets of contractive functions on p-adic field
In the present paper, we define unconventional limit set of contractive functions on the unit ball of the p-adic numbers. Main result of the present paper states that the unconventional limit set is compact. Our results will open new perspective to the theory of self-similarity in a non-Archimedea...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
AIP
2016
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/50912/ http://irep.iium.edu.my/50912/5/50912-new.pdf http://irep.iium.edu.my/50912/8/50912_On%20limit%20sets_scopus.pdf |
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| author | Mukhamedov, Farrukh Khakimov, Otabek |
| author_facet | Mukhamedov, Farrukh Khakimov, Otabek |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | In the present paper, we define unconventional limit set of contractive functions on the unit ball of the p-adic numbers.
Main result of the present paper states that the unconventional limit set is compact. Our results will open new perspective to the
theory of self-similarity in a non-Archimedean setting |
| first_indexed | 2025-11-14T16:26:17Z |
| format | Proceeding Paper |
| id | iium-50912 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:26:17Z |
| publishDate | 2016 |
| publisher | AIP |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-509122016-12-22T00:51:27Z http://irep.iium.edu.my/50912/ On limit sets of contractive functions on p-adic field Mukhamedov, Farrukh Khakimov, Otabek QA Mathematics In the present paper, we define unconventional limit set of contractive functions on the unit ball of the p-adic numbers. Main result of the present paper states that the unconventional limit set is compact. Our results will open new perspective to the theory of self-similarity in a non-Archimedean setting AIP 2016-06-02 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/50912/5/50912-new.pdf application/pdf en http://irep.iium.edu.my/50912/8/50912_On%20limit%20sets_scopus.pdf Mukhamedov, Farrukh and Khakimov, Otabek (2016) On limit sets of contractive functions on p-adic field. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26–28 January 2016, Kuala Lumpur, Malaysia. http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4952542 10.1063/1.4952542 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Khakimov, Otabek On limit sets of contractive functions on p-adic field |
| title | On limit sets of contractive functions on p-adic field |
| title_full | On limit sets of contractive functions on p-adic field |
| title_fullStr | On limit sets of contractive functions on p-adic field |
| title_full_unstemmed | On limit sets of contractive functions on p-adic field |
| title_short | On limit sets of contractive functions on p-adic field |
| title_sort | on limit sets of contractive functions on p-adic field |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/50912/ http://irep.iium.edu.my/50912/ http://irep.iium.edu.my/50912/ http://irep.iium.edu.my/50912/5/50912-new.pdf http://irep.iium.edu.my/50912/8/50912_On%20limit%20sets_scopus.pdf |