Generalized Leray-Schauder principles for compact admissible multifunctions
type: Item
instance of: scholarly article
title: Generalized Leray-Schauder principles for compact admissible multifunctions
zbMATH Open document ID: 0862.47035
DOI: 10.12775/TMNA.1995.018
published in: Topological Methods in Nonlinear Analysis
publication date: 1997-05-25T00:00:00Z
review text: The author introduces the interesting class of admissible multifunctions. With the assumption that these multifunctions assume values contained in some compact subset of the codomain, the author proves fixed point theorems in locally convex topological vector spaces for these maps satisfying the famous Leray-Schauder boundary condition. The results are established without using the degree theory and extend well-known results, e.g. that one of \textit{L. Gorniewicz}, \textit{A. Granas} and \textit{W. Kryszewski} [C. R. Acad. Sci., Paris, Sér I 307, 489-492 (1988; Zbl 0665.54030)].
reviewed by: Salvatore Sessa
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 55M20
zbMATH DE Number: 856952
zbMATH Keywords: admissible multifunctions
zbMATH Keywords: fixed point theorems
zbMATH Keywords: Leray-Schauder boundary condition
author: Sehie Park
MaRDI profile type: Publication
full work available at URL: tmna.1995.018
OpenAlex ID: W2601422889
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description: scientific article; zbMATH DE number 856952