Lipschitzian inverse functions, directional derivatives, and applications inC 1,1 optimization
Journal of Optimization Theory and ApplicationsPublished 1 September 1991
Bernd Kummer
Citations83
SJR quartileQ1
SJR score0.78
SNIP1.30
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Abstract
The paper shows that 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 can be used to clarify whether critical points are strongly stable inC 1,1 optimization problems.
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