Compression-expansion fixed point theorem in two norms and applications

Donald O'Regan; Radu Precup

doi:10.13025/24007

Compression-expansion fixed point theorem in two norms and applications

Donald O'Regan
, Radu Precup

Mathematics

Babes-Bolyai University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

23 Citations (Scopus)

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.

Original language	English
Pages (from-to)	383-391
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	309
Issue number	2
DOIs	https://doi.org/10.13025/24007 https://doi.org/10.1016/j.jmaa.2005.01.043
Publication status	Published - 15 Sept 2005

Keywords

differential-equations
Fixed point theorem in cones
Integral equation
Positive solution
positive solutions

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10.13025/24007Licence: CC BY
10.1016/j.jmaa.2005.01.043

Cite this

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title = "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 Lp solutions of Hammerstein integral equations with better integrability properties on the kernels.",

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author = "Donald O'Regan and Radu Precup",

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AB - 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 Lp solutions of Hammerstein integral equations with better integrability properties on the kernels.

KW - differential-equations

KW - Fixed point theorem in cones

KW - Integral equation

KW - Positive solution

KW - positive solutions

UR - http://hdl.handle.net/10379/9688

UR - https://www.scopus.com/pages/publications/22944482576

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ER -

Compression-expansion fixed point theorem in two norms and applications

Abstract

Keywords

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