TY - JOUR
T1 - Fixed Point Theorems of the Iterated Function Systems
AU - Ji , Youqing
AU - Liu , Zhi
AU - Ri , Songli
JO - Communications in Mathematical Research 
VL - 2
SP - 142
EP - 150
PY - 2021
DA - 2021/03
SN - 32
DO - http://doi.org/10.13447/j.1674-5647.2016.02.07
UR - https://global-sci.org/intro/article_detail/cmr/18676.html
KW - fixed point, $α-ψ$-contractive mapping, iterated function system, generalized metric space.
AB - <p style="text-align: justify;">In this paper, we present some fixed point theorems of iterated function
systems consisting of $α$-$ψ$-contractive type mappings in Fractal space constituted by
the compact subset of metric space and iterated function systems consisting of Banach
contractive mappings in Fractal space constituted by the compact subset of generalized metric space, which is also extensively applied in topological dynamic system.</p>