A generalization of Krasnoselskii's eigenvalue theorem

DOI10.1016/J.AML.2005.06.009zbMath1101.47034OpenAlexW2025247442MaRDI QIDQ2488723

In-Sook Kim

Publication date: 11 May 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.06.009

zbMATH Keywords

eigenvaluemeasure of noncompactnessset-valued mapcountably condensing map

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Cites Work

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• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential operators
• Measures of noncompactness in metric fixed point theory
• Some results on positive eigenvalues of admissible maps
• Fixed point theorems and fixed point index for countably condensing maps
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• A Lefschetz-type fixed point theorem
• Some fixed point theorems
• Fixed points of compact multifunctions
• On the connection of degree theory and 0-epi maps

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