Can Pourciau's open mapping theorem be derived from Clarke's inverse mapping theorem easily? (Q1996298)
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scientific article; zbMATH DE number 7317477
| Language | Label | Description | Also known as |
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| English | Can Pourciau's open mapping theorem be derived from Clarke's inverse mapping theorem easily? |
scientific article; zbMATH DE number 7317477 |
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Can Pourciau's open mapping theorem be derived from Clarke's inverse mapping theorem easily? (English)
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4 March 2021
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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)]).
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convex compact set of matrices
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Clarke generalized Jacobian
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inverse mapping theorem
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open mapping theorem
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