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http://dx.doi.org/10.4134/JKMS.2006.43.1.001

FIXED POINTS OF COUNTABLY CONDENSING MAPPINGS AND ITS APPLICATION TO NONLINEAR EIGENVALUE PROBLEMS  

KIM IN-SOOK (Department of Mathematics Sungkyunkwan University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.1, 2006 , pp. 1-9 More about this Journal
Abstract
Based on the Schauder fixed point theorem, we give a Leray-Schauder type fixed point theorem for countably condensing mappings in a more general setting and apply it to obtain eigenvalue results on condensing mappings in a simple proof. Moreover, we present a generalization of Sadovskii's fixed point theorem for count ably condensing self-mappings due to S. J. Daher.
Keywords
fixed points; eigenvalues; countably condensing mappings; measures of noncompactness;
Citations & Related Records

Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
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