The Leray-Schauder approach to the degree theory for \((S_+)\)-perturbations of maximal monotone operators in separable reflexive Banach spaces
type: Item
instance of: scholarly article
title: The Leray-Schauder approach to the degree theory for \((S_+)\)-perturbations of maximal monotone operators in separable reflexive Banach spaces
zbMATH Open document ID: 1185.47067
author: Boubakari Ibrahimou
author: Athanassios G. Kartsatos
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-05-07T00:00:00Z
review text: The paper develops the classical topological degree theory of Leray and Schauder to a degree theory for operators of type \(T+f\) in separable reflexive Banach spaces, where \(T\) is a strongly quasibounded and maximal operator, while \(f\) is a demicontinuous, bounded and of type \((S_+)\) perturbation. Certain basic homotopy properties are shown to hold. An extension of this degree theory to strongly quasibounded (but not necessarily bounded) perturbations \(f\) is also presented.
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H14
zbMATH DE Number: 5551978
zbMATH Keywords: Leray-Schauder degree theory
zbMATH Keywords: maximal monotone operator
zbMATH Keywords: demicontinuous operator
zbMATH Keywords: \((S_{+})\)-operator
zbMATH Keywords: strongly quasibounded operator
MaRDI profile type: Publication
full work available at URL: j.na.2008.10.018
OpenAlex ID: W2024701758
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DOI: 10.1016/J.NA.2008.10.018
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description: scientific article; zbMATH DE number 5551978