A Leray-Schauder alternative for Mönch maps on closed subsets of Fréchet spaces

M. Frigon; Donal O'Regan

doi:10.4171/ZAA/1106

A Leray-Schauder alternative for Mönch maps on closed subsets of Fréchet spaces

M. Frigon
, Donal O'Regan

Université de Montréal

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

4 Citations (Scopus)

Abstract

In this paper, a continuation principle is obtained for maps defined on a closed, convex subset which may have empty interior in a Fréchet space, and satisfying a condition of Mönch type. An application to first order systems of differential equations is presented to illustrate our theory.

Original language	English
Pages (from-to)	753-760
Number of pages	8
Journal	Zeitschrift für Analysis und ihre Anwendungen
Volume	21
Issue number	3
DOIs	https://doi.org/10.4171/ZAA/1106
Publication status	Published - 2002
Externally published	Yes

Keywords

Fixed points
Leray-Schauder alternatives
Mönch maps

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10.4171/ZAA/1106

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title = "A Leray-Schauder alternative for M{\"o}nch maps on closed subsets of Fr{\'e}chet spaces",

abstract = "In this paper, a continuation principle is obtained for maps defined on a closed, convex subset which may have empty interior in a Fr{\'e}chet space, and satisfying a condition of M{\"o}nch type. An application to first order systems of differential equations is presented to illustrate our theory.",

keywords = "Fixed points, Leray-Schauder alternatives, M{\"o}nch maps",

author = "M. Frigon and Donal O'Regan",

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language = "English",

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T1 - A Leray-Schauder alternative for Mönch maps on closed subsets of Fréchet spaces

AU - Frigon, M.

AU - O'Regan, Donal

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N2 - In this paper, a continuation principle is obtained for maps defined on a closed, convex subset which may have empty interior in a Fréchet space, and satisfying a condition of Mönch type. An application to first order systems of differential equations is presented to illustrate our theory.

AB - In this paper, a continuation principle is obtained for maps defined on a closed, convex subset which may have empty interior in a Fréchet space, and satisfying a condition of Mönch type. An application to first order systems of differential equations is presented to illustrate our theory.

KW - Fixed points

KW - Leray-Schauder alternatives

KW - Mönch maps

UR - https://www.scopus.com/pages/publications/0036380895

U2 - 10.4171/ZAA/1106

DO - 10.4171/ZAA/1106

M3 - Article

AN - SCOPUS:0036380895

SN - 0232-2064

VL - 21

SP - 753

EP - 760

JO - Zeitschrift für Analysis und ihre Anwendungen

JF - Zeitschrift für Analysis und ihre Anwendungen

IS - 3

ER -

A Leray-Schauder alternative for Mönch maps on closed subsets of Fréchet spaces

Abstract

Keywords

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