Fixed points of cone-compressing and cone-extending operators in Frechet spaces

Donal O'Regan

doi:10.1112/S0024609303002212

Fixed points of cone-compressing and cone-extending operators in Frechet spaces

Donal O'Regan

Mathematics

Université de Montréal

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

16 Citations (Scopus)

Abstract

A generalization of norm type cone-compression and -expansion results due to Krasnoselskii (see Dokl. Akad. Nauk SSSR NS 135 (1960) 527-530) is presented here for single-valued completely continuous maps defined on a Frechet space. Applications to second-order differential equations on the half line are presented, and the existence of nontrivial solutions is established.

Original language	English (Ireland)
Pages (from-to)	672-680
Number of pages	9
Journal	Bulletin Of The London Mathematical Society
Volume	35
Issue number	5
DOIs	https://doi.org/10.1112/S0024609303002212
Publication status	Published - 1 Sep 2003

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Frigon, M,O'Regan, D

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10.1112/S0024609303002212

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abstract = "A generalization of norm type cone-compression and -expansion results due to Krasnoselskii (see Dokl. Akad. Nauk SSSR NS 135 (1960) 527-530) is presented here for single-valued completely continuous maps defined on a Frechet space. Applications to second-order differential equations on the half line are presented, and the existence of nontrivial solutions is established.",

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Fixed points of cone-compressing and cone-extending operators in Frechet spaces

Abstract

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