Phi-contractive parent-child infinite IFSs and orbital phi-contractive infinite IFSs
Dynamical Systems
2021-03-16 v1
Abstract
In this paper we introduce the notions of phi-contractive parent-child infinite iterated function system (pcIIFS) and orbital phi-contractive infinite iterated function system (oIIFS) and we prove that the corresponding fractal operator is weakly Picard. The corresponding notions of shift space, canonical projection and their properties are also treated.
Keywords
Cite
@article{arxiv.2103.07551,
title = {Phi-contractive parent-child infinite IFSs and orbital phi-contractive infinite IFSs},
author = {Alexandru Mihail and Irina Savu},
journal= {arXiv preprint arXiv:2103.07551},
year = {2021}
}