On the domain invariance of countably condensing vector fields

DOI10.1016/J.JMAA.2004.10.004zbMath1081.47056OpenAlexW2074886895MaRDI QIDQ555824

In-Sook Kim

Publication date: 10 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.10.004

zbMATH Keywords

measure of noncompactnessdegree theoryopen mapcountably condensing mapdomain invariance

Mathematics Subject Classification ID

Homotopy extension properties, cofibrations in algebraic topology (55P05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Degree theory for nonlinear operators (47H11)

Related Items (1)

The invariance of domain theorem for countably 1-set-contractive mappings

Cites Work

• Über den Zusammenhang zwischen der Eindeutigkeit und Lösbarkeit partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus
• Fixed point theorems and fixed point index for countably condensing maps
• Remarks on condensing and \(k\)-set-contractive mappings
• Ein Homotopieerweiterungssatz für konzentrierende mengenwertige Abbildungen in lokalkonvexen topologischen Vektorräumen
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Fixpunktsätze für mengenwertige Abbildungen in lokalkonvexen Räumen
• On a fixed point principle of Sadovskii
• On the connection of degree theory and 0-epi maps
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