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2000/2001 On the Intermediate Value Property of Multivalued Functions
Grażyna Kwiecińska
Real Anal. Exchange 26(1): 245-260 (2000/2001).


The present paper deals with a certain property of multivalued functions which coincides with the Darboux property in the case of single valued real functions of real variable. It is well known that derivatives, and hence approximately continuous functions have the Darboux property. The results contained here are generalizations of these properties to the multivalued case.


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Grażyna Kwiecińska. "On the Intermediate Value Property of Multivalued Functions." Real Anal. Exchange 26 (1) 245 - 260, 2000/2001.


Published: 2000/2001
First available in Project Euclid: 2 January 2009

zbMATH: 1018.26020
MathSciNet: MR1825507

Primary: 26A15 , 26A24 , 26E25 , ‎54C60‎

Keywords: Darboux property , differentiation of set-valued functions , set-valued functions; continuity

Rights: Copyright © 2000 Michigan State University Press

Vol.26 • No. 1 • 2000/2001
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