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Kummer, B. (1989). The Inverse of a Lipschitz Function in Rn: Complete Characterization by Directional Derivates. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-89-084
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Abstract
The paper shows that L. Thibault's limit sets allow an iff-characterization of local Lipschitzian invertibility in finite dimension. We consider these sets as directional derivatives and extend the calculus in a way that it can be used to clarify whether critical points are strongly stable in C^{1,1}- optimization problems.
| Item Type: | Monograph (IIASA Working Paper) |
|---|---|
| Research Programs: | Adaption and Optimization (ADO) |
| Depositing User: | IIASA Import |
| Date Deposited: | 15 Jan 2016 01:59 |
| Last Modified: | 27 Aug 2021 17:13 |
| URI: | https://pure.iiasa.ac.at/3260 |
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