Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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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.

A class of M\"{o}bius iterated function systems

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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