<em>φ</em>-Contractive parent-child possibly infinite IFSs and orbital φ contractive possibly infinite IFSs



	φ-Contractive parent-child possibly infinite IFSs and orbital φ contractive possibly infinite IFSs


	Fixed Point Theory, Volume 25, No. 1, 2024, 229-248, February 1st, 2024 DOI: 10.24193/fpt-ro.2024.1.15 Authors: Alexandru Mihail and Irina Savu Abstract: In this paper we introduce the notions of φ-contractive parent-child possibly infinite iterated function system (pcIIFS) and orbital φ-contractive possibly 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. Key Words and Phrases: Weakly Picard operator, fractal operator, infinite iterated function system, canonical projection. 2010 Mathematics Subject Classification: 28A80, 37C70, 37C25. Published on-line: February 1st, 2024. Fulltext pdf Back to volume's table of contents