The invariance of domain theorem for countably 1-set-contractive mappings
type: Item
instance of: scholarly article
title: The invariance of domain theorem for countably 1-set-contractive mappings
zbMATH Open document ID: 1250.47052
author: Juan A. Gatica
author: Yun-Ho Kim
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-11-19T00:00:00Z
Mathematics Subject Classification ID: 47H08
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 47H14
zbMATH DE Number: 5817661
zbMATH Keywords: invariance of a domain
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: countably \(1\)\(-\)\(\gamma\)-contractive maps
zbMATH Keywords: homotopy theory
zbMATH Keywords: degree theory
MaRDI profile type: Publication
full work available at URL: j.na.2010.08.017
OpenAlex ID: W2045767141
cites work: Q4155369
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cites work: On the domain invariance of countably condensing vector fields
cites work: The invariance of domain theorem for condensing vector fields
cites work: On a fixed point principle of Sadovskii
cites work: Fixed point theorems for nonlinear operators with a sequential condition
cites work: Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
cites work: Fixed point theorems and fixed point index for countably condensing maps
cites work: Über den Zusammenhang zwischen der Eindeutigkeit und Lösbarkeit partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus
cites work: Remarks on condensing and \(k\)-set-contractive mappings
cites work: The fixed point index and asymptotic fixed point theorems for $k$-set-contractions
cites work: Q3243455
cites work: Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
DOI: 10.1016/J.NA.2010.08.017
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description: scientific article; zbMATH DE number 5817661