On locally condensing operators

DOI10.1016/j.na.2012.01.014zbMath1269.47036OpenAlexW1997150564MaRDI QIDQ413595

Nina A. Erzakova

Publication date: 7 May 2012

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.2012.01.014

zbMATH Keywords

measure of noncompactnessnonlinear equationFréchet derivativebifurcation pointnear-ringcondensing map

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (4)

On a criterion for the complete continuity of the Fréchet derivative ⋮ On strongly condensing operators ⋮ Applications of one inequality to measures of non-compactness and narrow operators ⋮ Generalization of some M.A. Krasnosel'skii's results

Cites Work

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• Solvability of equations with partially additive operators
• On measure-compact operators
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• On measures of non-compactness in regular spaces
• Compactness in measure and measure of noncompactness
• The fixed point index for local condensing maps

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