Affiliation:
1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, P. R. China
Abstract
This paper investigates a type of iterated implicit function systems composed of equations [Formula: see text], where [Formula: see text] is a continuous function, and [Formula: see text] is a constant. The existence of attractors of iterated implicit function systems is proved based on different equation conditions, including the equation [Formula: see text] containing the implicit function or being [Formula: see text]-contractive about [Formula: see text]. Meanwhile, we give definitions of implicit convergence of functions and monotone sequence of iterated implicit function systems. Finally, some properties of attractors of iterated implicit function systems are elucidated.
Funder
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Ltd