φ-压缩的父子无穷IFS和轨道φ-压缩的无穷IFS
Phi-contractive parent-child infinite IFSs and orbital phi-contractive infinite IFSs
摘要：
本文引入了φ-压缩父子无穷迭代函数系（pcIIFS）和轨道φ-压缩无穷迭代函数系（oIIFS）的概念，并证明了相应的分形算子是弱Picard算子.相应的移位空间、典范投影的概念及其性质也被讨论。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
