A CLASS OF MOBIUS ITERATED FUNCTION SYSTEMS

Cakmak, Gokce; Deniz, Ali; Kocak, Sahin

doi:10.4134/ckms.c180482

A CLASS OF MOBIUS ITERATED FUNCTION SYSTEMS

Cakmak G., Deniz A., Kocak S.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, vol.35, no.3, pp.927-933, 2020 (ESCI, Scopus)

Publication Type: Article / Article
Volume: 35 Issue: 3
Publication Date: 2020
Doi Number: 10.4134/ckms.c180482
Journal Name: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
Page Numbers: pp.927-933
Keywords: Iterated function system, Mobius iterated function system, Mobius transformation, attractors
Anadolu University Affiliated: Yes

Abstract

We characterize Mobius functions mapping the unit disc of the complex plane contractively into itself. We then give a procedure to produce Mobius iterated function systems on the unit disc.