Open Access
2008/2009 Weak Almost Iterability
Barbara Przebieracz
Real Anal. Exchange 34(2): 359-376 (2008/2009).


We investigate continuous selfmappings of a real compact interval, which are, in a sense, close to iterable ones, that is embeddable into continuous iteration semigroup. This is a continuation of a research initiated by W.~Jarczyk. We present some necessary and sufficient conditions of weak almost iterability and $M-$weak almost iterability. Classes of functions investigated here are generalizations of a class of almost iterable functions introduced by W. Jarczyk. This refers to the problem posed by E.~Jen.


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Barbara Przebieracz. "Weak Almost Iterability." Real Anal. Exchange 34 (2) 359 - 376, 2008/2009.


Published: 2008/2009
First available in Project Euclid: 29 October 2009

zbMATH: 1187.26002
MathSciNet: MR2569193

Primary: 26A18 , 39B12

Keywords: almost iterable functions , iteration semigroup , iteration theory , translation equation , weak almost iterable functions

Rights: Copyright © 2008 Michigan State University Press

Vol.34 • No. 2 • 2008/2009
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