On a generalized self-similarity in the p-Adic field
In the present paper, we introduce a new set which defines a generalized self-similar set for contractive functions {fi}i=1N on the unit ball â&;p of p-Adic numbers. This set is called unconventional limit set. We prove that the unconventional limit set is compact, perfect and uniformly disconne...
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| المؤلفون الرئيسيون: | , |
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| التنسيق: | مقال |
| اللغة: | English English |
| منشور في: |
World Scientific Publishing Co. Pte Ltd
2016
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| الموضوعات: | |
| الوصول للمادة أونلاين: | http://irep.iium.edu.my/58854/1/58854_On%20a%20generalized%20self-similarity%20in%20the%20p-Adic%20field_article.pdf http://irep.iium.edu.my/58854/2/58854_On%20a%20generalized%20self-similarity%20in%20the%20p-Adic%20field_scopus.pdf http://irep.iium.edu.my/58854/ http://www.worldscientific.com/doi/pdf/10.1142/S0218348X16500419 |
| الوسوم: |
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| الملخص: | In the present paper, we introduce a new set which defines a generalized self-similar set for contractive functions {fi}i=1N on the unit ball â&;p of p-Adic numbers. This set is called unconventional limit set. We prove that the unconventional limit set is compact, perfect and uniformly disconnected. Moreover, we provide an example of two contractions for which the corresponding unconventional limiting set is quasi-symmetrically equivalent to the symbolic Cantor set. |
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