Real Analysis Exchange

An example of a Darboux function having no fixed points.

Zbigniew Grande
Source: Real Anal. Exchange Volume 28, Number 2 (2002), 375-380.

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.

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Primary Subjects: 26A05, 26A15
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rae/1184963801
Mathematical Reviews number (MathSciNet): MR2009760
Zentralblatt MATH identifier: 1045.26001

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Real Analysis Exchange

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