Commun. Korean Math. Soc. 2020; 35(3): 927-933
Online first article May 7, 2020 Printed July 31, 2020
https://doi.org/10.4134/CKMS.c180482
Copyright © The Korean Mathematical Society.
G\"ok\c{c}e \c{C}akmak, Ali Deniz, \c{S}ahin Ko\c{c}ak
Eskisehir Technical University; Eskisehir Technical University; Anadolu University (emeritus)
We characterize M\"{o}bius functions mapping the unit disc of the complex plane contractively into itself. We then give a procedure to produce M\"{o}bius iterated function systems on the unit disc.
Keywords: Iterated function system, M\"{o}bius iterated function system, M\"{o}bius transformation, attractors
MSC numbers: Primary 28A80, 30D05
2014; 29(1): 163-172
1997; 12(1): 157-163
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