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

Farrukh Mukhamedov, Otabek Khakimov

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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. ;copy 2016 World Scientific Publishing Company.

Original languageEnglish
Article number1650041
Issue number4
Publication statusPublished - Dec 1 2016
Externally publishedYes


  • Compact
  • Quasi-Symmetric
  • Symbolic Cantor Set
  • Unconventional Limit Set
  • Uniformly Perfect
  • p-Adic Numbers

ASJC Scopus subject areas

  • Modelling and Simulation
  • Geometry and Topology
  • Applied Mathematics


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