On common fixed and periodic points of commuting functions
type: Item
instance of: scholarly article
title: On common fixed and periodic points of commuting functions
zbMATH Open document ID: 0905.47045
DOI: 10.1155/S0161171298000386
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1999-01-18T00:00:00Z
full work available at URL: https://eudml.org/doc/48056
review text: Continuous commuting selfmaps of \([0,1]\) are considered. It is known that they need not have a common fixed point. However, there is an open problem if they have a common periodic point. Although the paper does not solve this problem, it gives some useful results in this direction and also a condition under which two continuous functions must have a unique common fixed point.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 26A18
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 1140269
zbMATH Keywords: minimal sets
zbMATH Keywords: common fixed point
zbMATH Keywords: common periodic point
author: Ali A. Alikhani-Koopaei
reviewed by: Katarina Janková
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1140269