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

DOI10.1016/j.na.2010.08.017zbMath1250.47052OpenAlexW2045767141MaRDI QIDQ607105

Juan A. Gatica, Yun-Ho Kim

Publication date: 19 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.08.017

zbMATH Keywords

measure of noncompactnessdegree theoryhomotopy theorycountably \(1\)\(-\)\(\gamma\)-contractive mapsinvariance of a domain

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Degree theory for nonlinear operators (47H11) Perturbations of nonlinear operators (47H14) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

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• On the domain invariance of countably condensing vector fields
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• 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
• The invariance of domain theorem for condensing vector fields
• Fixed point theorems for nonlinear operators with a sequential condition
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• On a fixed point principle of Sadovskii
• The fixed point index and asymptotic fixed point theorems for $k$-set-contractions

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