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2002/2003 An example of a Darboux function having no fixed points.
Zbigniew Grande
Author Affiliations +
Real Anal. Exchange 28(2): 375-380 (2002/2003).

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

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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

Vol.28 • No. 2 • 2002/2003
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