Can Pourciau's open mapping theorem be derived from Clarke's inverse mapping theorem easily?

DOI10.1016/j.jmaa.2020.124858zbMath1460.46003OpenAlexW3119520510MaRDI QIDQ1996298

David Bartl, Marian J. Fabian

Publication date: 4 March 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124858

zbMATH Keywords

open mapping theoremClarke generalized Jacobianinverse mapping theoremconvex compact set of matrices

Mathematics Subject Classification ID

Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (3)

Clarke Jacobians, Bouligand Jacobians, and compact connected sets of matrices ⋮ On implicit function theorem for locally Lipschitz equations ⋮ Every compact convex subset of matrices is the Clarke Jacobian of some Lipschitzian mapping

Cites Work

• Unnamed Item
• Analysis and optimization of Lipschitz continuous mappings
• Continuous selections of solutions for locally Lipschitzian equations
• Optimization and nonsmooth analysis

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