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

Mukhamedov, Farrukh M. and Khakimov, Otabek (2016) On a generalized self-similarity in the p-Adic field. Fractals, 24 (4). 1650041-1-1650041-11. ISSN 0218-348X E-ISSN 1793-6543

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	5537/58854
Uncontrolled Keywords:	p-Adic Numbers; Unconventional Limit Set; Compact; Uniformly Perfect; QuasiSymmetric;Symbolic Cantor Set
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA273 Probabilities
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	21 Oct 2017 15:24
Last Modified:	21 Oct 2017 15:30
URI:	http://irep.iium.edu.my/id/eprint/58854

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