Abstract
In this paper we present a two-norms version of Krasnoselskii’s fixed point theorem in cones. The abstract result is then applied to prove the existence of positive \(L_p\) solutions of Hammerstein integral equations with better integrability properties on the kernels.
Authors
Donal O’Regan
Department of Mathematics, National University of Ireland, Galway, Ireland
Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Paper coordinates
D. O’Regan, R. Precup, Compression-expansion fixed point theorem in two norms and applications, J. Math. Anal. Appl. 309 (2005), 383-391, https://doi.org/10.1016/j.jmaa.2005.01.043
About this paper
Journal
Journal of Mathematical Analysis and Applications
Publisher Name
Elsevier
Print ISSN
Online ISSN
0022-247X
MR2154122, Zbl 1078.47017
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