An inversion theorem for set-valued maps

DOI10.1017/S0004972700027027zbMath0639.58001OpenAlexW2159662874MaRDI QIDQ3780138

Dominique Azé

Publication date: 1988

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700027027

zbMATH Keywords

inversion theorem for set-valued mapspseudo-Lipschitz regularitystrict differentiability for set- valued maps

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Set-valued and function-space-valued mappings on manifolds (58C06) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (4)

Inverse and implicit function theorems for nonsmooth maps in Banach spaces ⋮ An inverse mapping theorem for \(H\)-differentiable set-valued maps ⋮ A concept of inner prederivative for set-valued mappings and its applications ⋮ Subtraction theorems and approximate openness for multifunctions: Topological and infinitesimal viewpoints

Cites Work

• Unnamed Item
• On the inverse function theorem
• On the differentiability of multifunctions
• Interior mapping theorem with set-valued derivatives
• A differential calculus for multifunctions
• Some mapping theorems
• Regularity and Stability for Convex Multivalued Functions
• A note on the generalized differentiability of mappings
• An Inverse-Function Theorem for a Class of Multivalued Functions
• Implicit Functions and Optimization Problems without Continuous Differentiability of the Data
• Normed Convex Processes
• An Implicit Function Theorem for Nondifferentiable Mappings

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