## Real Analysis Exchange

### The Composition of Two Derivatives Has a Fixed Point

#### 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.

#### Article information

Source
Real Anal. Exchange, Volume 26, Number 2 (2000), 749-760.

Dates
First available in Project Euclid: 27 June 2008

https://projecteuclid.org/euclid.rae/1214571365

Mathematical Reviews number (MathSciNet)
MR1844391

Zentralblatt MATH identifier
1011.26004

Keywords
Darboux Baire-1 fixed points

#### Citation

Csörnyei, Marianna; O’Neil, Toby C.; Preiss, David. The Composition of Two Derivatives Has a Fixed Point. Real Anal. Exchange 26 (2000), no. 2, 749--760. https://projecteuclid.org/euclid.rae/1214571365

#### References

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