Can Pourciau's open mapping theorem be derived from Clarke's inverse mapping theorem easily?
type: Item
instance of: scholarly article
title: Can Pourciau's open mapping theorem be derived from Clarke's inverse mapping theorem easily?
zbMATH Open document ID: 1460.46003
author: David Bartl
author: Marián Fabian
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-03-04T00:00:00Z
review text: Essentially, the authors study the possibility to deduce a suitable open mapping theorem (defined by \textit{B. H. Pourciau} [J. Optim. Theory Appl. 22, 311--351 (1977; Zbl 0336.26008)]) from another appropriate inverse mapping theorem (set up by \textit{F. H. Clarke} [Optimization and nonsmooth analysis. John Wiley, New York, NY (1983; Zbl 0582.49001)]).
reviewed by: Mohammed El Aïdi
Mathematics Subject Classification ID: 46A30
zbMATH DE Number: 7317477
zbMATH Keywords: convex compact set of matrices
zbMATH Keywords: Clarke generalized Jacobian
zbMATH Keywords: inverse mapping theorem
zbMATH Keywords: open mapping theorem
MaRDI profile type: Publication
full work available at URL: j.jmaa.2020.124858
OpenAlex ID: W3119520510
cites work: Continuous selections of solutions for locally Lipschitzian equations
cites work: Optimization and nonsmooth analysis
cites work: Q3754736
cites work: Analysis and optimization of Lipschitz continuous mappings
DOI: 10.1016/J.JMAA.2020.124858
description: scientific article; zbMATH DE number 7317477