Generalization for Amann's and Leggett--Williams' three-solution theorems and applications
type: Item
instance of: scholarly article
title: Generalization for Amann's and Leggett--Williams' three-solution theorems and applications
zbMATH Open document ID: 1073.47055
author: Fuyi Li
author: Guodong Han
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-10-12T00:00:00Z
review text: Let \(X\) be a nonempty closed convex subset of a real ordered Banach space \(E\) and \(A:X \to X\) a completely continuous operator. The authors give conditions for \(A\) to have at least three fixed points. The results generalize those of \textit{H. Amann} [J. Funct. Anal. 11, 346--384 (1972; Zbl 0244.47046)], \textit{R. W. Leggett} and \textit{L. R. Williams} [Indiana Univ. Math. J. 28, 673--688 (1979; Zbl 0421.47033)], and \textit{R. I. Avery} [Math. Sci. Res. Hot-Line 3, No.~7, 9--14 (1999; Zbl 0965.47038)]. Some applications to two-point boundary value problems are given.
reviewed by: Ioan A. Rus
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H07
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 2107289
zbMATH Keywords: fixed point index
zbMATH Keywords: completely continuous operator
zbMATH Keywords: three-solution theorem
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.06.001
OpenAlex ID: W2093166481
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DOI: 10.1016/J.JMAA.2004.06.001
description: scientific article; zbMATH DE number 2107289