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Compression-expansion fixed point theorem in two norms and applications

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

Positive solution; Integral equation; Fixed point theorem in cones

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

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About this paper

Journal

Journal of Mathematical Analysis and Applications

Publisher Name

Elsevier

Print ISSN
Online ISSN

0022-247X

MR2154122, Zbl 1078.47017

google scholar link

2005

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