On Nemytskij operator in the space of absolutely continuous set-valued functions

DOI10.1515/JAA.2011.016zbMath1276.26054OpenAlexW1970594251MaRDI QIDQ2865590

Jakub Jan Ludew

Publication date: 2 December 2013

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2011.016

zbMATH Keywords

set-valued functionsNemytskij operatorJensen equationabsolutely continuous functions

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued maps in general topology (54C60) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Set-valued operators (47H04) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (1)

On generalized common quasi-eigenvector problems

Cites Work

• The reflexivity of the Banach space \(L(E,F)\)
• Lipschitzian composition operators in some function spaces
• Selections of Bounded Variation
• An Embedding Theorem for Spaces of Convex Sets
• Generalized variation of mappings with applications to composition operators and multifunctions

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