Higher order differentiability of multifunctions

DOI10.1016/0362-546X(81)90099-7zbMath0466.46048MaRDI QIDQ3918572

John Schinas, Moses A. Boudourides

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Hausdorff metricdifferentiable selectionshigher differentials of a multifunctionupper semicontinuous positively multihomogeneous multifunctions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items

On the differentiability of set-valued functions defined on a Banach space and mean value theorem, New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations

Cites Work

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• On the differentiability of multifunctions
• A differential calculus for multifunctions
• Asymptotic behavior for differential equations which cannot be locally linearized
• Properties of the solution set of a generalized differential equation