A class of M\"{o}bius iterated function systems
Commun. Korean Math. Soc. 2020 Vol. 35, No. 3, 927-933
Published online May 7, 2020
Printed July 31, 2020
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)
Abstract : 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
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