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http://dx.doi.org/10.4134/CKMS.c180482

A CLASS OF MÖBIUS ITERATED FUNCTION SYSTEMS  

Cakmak, Gokce (Department of Mathematics Science Faculty Eskisehir Technical University)
Deniz, Ali (Department of Mathematics Science Faculty Eskisehir Technical University)
Kocak, Sahin (Department of Mathematics Science Faculty Anadolu University)
Publication Information
Communications of the Korean Mathematical Society / v.35, no.3, 2020 , pp. 927-933 More about this Journal
Abstract
We characterize Möbius functions mapping the unit disc of the complex plane contractively into itself. We then give a procedure to produce Möbius iterated function systems on the unit disc.
Keywords
Iterated function system; $M{\ddot{o}}bius$ iterated function system; $M{\ddot{o}}bius$ transformation; attractors;
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