On limit sets of contractive functions on p-adic field

Farrukh Mukhamedov, Otabek Khakimov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish
Title of host publicationInnovations Through Mathematical and Statistical Research
Subtitle of host publicationProceedings of the 2nd International Conference on Mathematical Sciences and Statistics, ICMSS 2016
EditorsSiti Nur Iqmal Ibrahim, Lai Soon Lee, Md. Sohel Rana, Fong Peng Lim, Mai Zurwatul Ahlam Mohd Jaffar, Mohd Shafie Mustafa, Chuei Yee Chen
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735413962
DOIs
Publication statusPublished - Jun 2 2016
Externally publishedYes
Event2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research, ICMSS 2016 - Kuala Lumpur, Malaysia
Duration: Jan 26 2016Jan 28 2016

Publication series

NameAIP Conference Proceedings
Volume1739
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research, ICMSS 2016
Country/TerritoryMalaysia
CityKuala Lumpur
Period1/26/161/28/16

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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