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http://dx.doi.org/10.4134/JKMS.2005.42.6.1205

EIGENVALUES OF COUNTABLY CONDENSING ADMISSIBLE MAPS  

KIM IN-SOOK (Department of Mathematics Sungkyunkwan University)
Publication Information
Journal of the Korean Mathematical Society / v.42, no.6, 2005 , pp. 1205-1213 More about this Journal
Abstract
Applying a fixed point theorem for compact admissible maps due to Gorniewicz, we prove that under certain conditions each count ably condensing admissible maps in Frechet spaces has a positive eigenvalue. This result has many consequences, including the well-known theorem of Krasnoselskii.
Keywords
eigenvalues; count ably condensing maps; admissible maps; measures of noncompactness;
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