Abstract
In this article we construct an example of a bilaterally quasicontinuous Darboux function \(f:[0,1] \to [0,1]\), which has no fixed points.
Citation
Zbigniew Grande. "An example of a Darboux function having no fixed points.." Real Anal. Exchange 28 (2) 375 - 380, 2002/2003.
Information
Published: 2002/2003
First available in Project Euclid: 20 July 2007
zbMATH: 1045.26001
MathSciNet: MR2009760
Subjects:
Primary:
26A05
,
26A15
Keywords:
condition \((s_1)\)
,
density topology
,
fixed point of mapping.
,
Quasicontinuity
Rights: Copyright © 2002 Michigan State University Press