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The composition of two derivatives has a fixed point

Csörnyei, Marianna; O'Neil, Toby and Preiss, David (2001). The composition of two derivatives has a fixed point. Real Analysis Exchange, 26(2) pp. 749–760.

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Abstract

We show that if $f,g\colon [0,1]\to[0,1]$ are both Darboux Baire-1 functions, then their composition, $f\circ g$ possesses a fixed point.

Item Type: Journal Article
ISSN: 0147-1937
Extra Information: Some of the symbols may not have transferred correctly into this bibliographic record.
Keywords: derivatives; fixed-points; Darboux; Barire-1; composition
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 2126
Depositing User: Toby O'Neil
Date Deposited: 12 Jun 2006
Last Modified: 02 Dec 2010 19:46
URI: http://oro.open.ac.uk/id/eprint/2126
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