On a generalized self-similarity in the p-Adic field

• Main Authors: Mukhamedov, Farrukh M., Khakimov, Otabek
• Format: Article
• Language: English; English
• Published: World Scientific Publishing Co. Pte Ltd 2016
• Subjects: QA Mathematics; QA273 Probabilities
• Online Access: 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

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...