Leray-Schauder and Krasnoselskii results for multivalued maps defined on pseudo-open subsets of a Frechet space

Donal O'Regan

doi:10.1016/j.aml.2005.11.017

Leray-Schauder and Krasnoselskii results for multivalued maps defined on pseudo-open subsets of a Frechet space

Donal O'Regan

Mathematics

Department of Mathematical Sciences

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

9 Citations (Scopus)

Abstract

New Leray-Schauder alternatives and Krasnoselskii expansion and compression theorems are presented for multivalued maps defined on subsets of a Frechet space E. The proof relies on the notion of a pseudo-open set and on viewing E as the projective limit of a sequence of Banach spaces. (C) 2005 Elsevier Ltd. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	1327-1334
Number of pages	8
Journal	Applied Mathematics Letters
Volume	19
Issue number	12
DOIs	https://doi.org/10.1016/j.aml.2005.11.017
Publication status	Published - 1 Dec 2006

Keywords

Krasnoselskii expansion
Leray-Schauder alternative
Multivalued maps
Projective limit
Pseudo-open set

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

Authors
Agarwal, RP,O'Regan, D

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10.1016/j.aml.2005.11.017

Cite this

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N2 - New Leray-Schauder alternatives and Krasnoselskii expansion and compression theorems are presented for multivalued maps defined on subsets of a Frechet space E. The proof relies on the notion of a pseudo-open set and on viewing E as the projective limit of a sequence of Banach spaces. (C) 2005 Elsevier Ltd. All rights reserved.

AB - New Leray-Schauder alternatives and Krasnoselskii expansion and compression theorems are presented for multivalued maps defined on subsets of a Frechet space E. The proof relies on the notion of a pseudo-open set and on viewing E as the projective limit of a sequence of Banach spaces. (C) 2005 Elsevier Ltd. All rights reserved.

KW - Krasnoselskii expansion

KW - Leray-Schauder alternative

KW - Multivalued maps

KW - Projective limit

KW - Pseudo-open set

UR - https://www.scopus.com/pages/publications/33748288158

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JO - Applied Mathematics Letters

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ER -

Leray-Schauder and Krasnoselskii results for multivalued maps defined on pseudo-open subsets of a Frechet space

Abstract

Keywords

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

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