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.
|Title of host publication
|Innovations Through Mathematical and Statistical Research
|Subtitle of host publication
|Proceedings of the 2nd International Conference on Mathematical Sciences and Statistics, ICMSS 2016
|Siti Nur Iqmal Ibrahim, Lai Soon Lee, Md. Sohel Rana, Fong Peng Lim, Mai Zurwatul Ahlam Mohd Jaffar, Mohd Shafie Mustafa, Chuei Yee Chen
|American Institute of Physics Inc.
|Published - Jun 2 2016
|2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research, ICMSS 2016 - Kuala Lumpur, Malaysia
Duration: Jan 26 2016 → Jan 28 2016
|AIP Conference Proceedings
|2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research, ICMSS 2016
|1/26/16 → 1/28/16
ASJC Scopus subject areas
- General Physics and Astronomy