On functions with weak iterative roots
type: Item
instance of: scholarly article
title: On functions with weak iterative roots
zbMATH Open document ID: 1020.39010
author: Tomasz Powierża
published in: Aequationes Mathematicae
publication date: 2002-05-21T00:00:00Z
review text: The author, after giving the notion of weak iterative root introduced by Gy. Targonski, proves the following: Theorem: Let \(X\) be an arbitrary set. If \(f\in X^X\) has a weak iterative root of order \(r\) then it also has an iterative root of the same order. From the proof of the theorem it is seen that every weak iterative root generates a family of iterative roots.
Mathematics Subject Classification ID: 39B12
Mathematics Subject Classification ID: 26A18
Mathematics Subject Classification ID: 39B52
zbMATH DE Number: 1742889
zbMATH Keywords: weak iterative roots
zbMATH Keywords: iterative functional equation
reviewed by: Gian Luigi Forti
MaRDI profile type: Publication
full work available at URL: s00010-002-8009-5
OpenAlex ID: W1985878865
DOI: 10.1007/S00010-002-8009-5
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description: scientific article; zbMATH DE number 1742889