J. Austral. Math. Soc.
72 (2002), 389-394
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On a generalization of Krasnoselskii's theorem
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Dariusz Idczak
Faculty of Mathematics
University of Lódz
S. Banacha 22
90--238 Lódz, Poland
idczak@math.uni.lodz.pl
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and
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Andrzej Rogowski
Faculty of Mathematics
University of Lódz
S. Banacha 22
90--238 Lódz, Poland
arogow@math.uni.lodz.pl
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Abstract
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In this paper we prove a generalization of the
well known theorem of Krasnoselskii on the
superposition operator in which the domain of
Nemytskii's operator is a product space. We also
give an application of this result.
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