Topological essentiality and fixed point theory
type: Item
instance of: scholarly article
title: Topological essentiality and fixed point theory
zbMATH Open document ID: 0955.47034
DOI: 10.1016/S0893-9659(99)00094-4
author: Ravi P. Agarwal
author: Donal O'Regan
published in: Applied Mathematics Letters
publication date: 2000-05-11T00:00:00Z
review text: The authors show that if \(G\) is essential and \(F\cong G\), then \(F\) is essential under certain conditions. They here discuss upper semi-continuous maps and one-set contractive demicompact maps. Some perturbations of linear Fredholm maps of index zero are also discussed.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 1394536
zbMATH Keywords: topological essentiality
zbMATH Keywords: upper semi-continuous maps
zbMATH Keywords: one-set contractive demicompact maps
zbMATH Keywords: perturbation of linear Fredholm maps of index zero
reviewed by: S. K. Chatterjea
MaRDI profile type: Publication
cites work: Q4118379
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cites work: A continuation theory for weakly inward maps
cites work: Note on the Structure of Fixed Point Sets of 1-Set-Contractions
cites work: Fixed points for set-valued mappings in locally convex linear topological spaces
cites work: Fixed points of approximable maps
full work available at URL: s0893-9659(99)00094-4
OpenAlex ID: W2085366340
description: scientific article; zbMATH DE number 1394536