Differentiability of Set-Valued Maps in Banach Spaces

DOI10.1002/mana.19881390120zbMath0682.49012OpenAlexW2131965394MaRDI QIDQ4731723

Pham Hu'u Sach

Publication date: 1988

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19881390120

zbMATH Keywords

mean value theoremsstrict prederivativesurjectivity theoremsprederivative

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued functions (26E25) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (4)

On Fréchet differentiability of multifunctions ⋮ Stability of the solution set of perturbed nonsmooth inequality systems and application ⋮ New results in the theory of multivalued mappings. II: Analysis and applications ⋮ Normal coderivative for multifunctions and implicit function theorems

Cites Work

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• On the inverse function theorem
• On the differentiability of multifunctions
• Trajectory integrals of set valued functions
• Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory
• An Abstract Variational Theory with Applications to a Broad Class of Optimization Problems. I. General Theory

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