The Inverse of a Lipschitz Function in Rn: Complete Characterization by Directional Derivates

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: 18 Nov 2016 18:24
URI: http://pure.iiasa.ac.at/3260

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