Open Access
2000/2001 The Composition of Two Derivatives Has a Fixed Point
Marianna Csörnyei, Toby C. O’Neil, David Preiss
Real Anal. Exchange 26(2): 749-760 (2000/2001).

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.

Citation

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Marianna Csörnyei. Toby C. O’Neil. David Preiss. "The Composition of Two Derivatives Has a Fixed Point." Real Anal. Exchange 26 (2) 749 - 760, 2000/2001.

Information

Published: 2000/2001
First available in Project Euclid: 27 June 2008

zbMATH: 1011.26004
MathSciNet: MR1844391

Subjects:
Primary: 26A21 , 26A99

Keywords: Baire-1 , Darboux , Fixed points

Rights: Copyright © 2000 Michigan State University Press

Vol.26 • No. 2 • 2000/2001
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