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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 49, 2001 - Issue 5-6
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Original Articles

Isolated zeros of lipschitzian metrically regular -Functions

Pages 425-446 | Received 18 May 1999, Published online: 30 Mar 2007
 

Abstract

Given a metrically regular locally Lipschitzian function sending into ,the structure of the preimages will be studied. In particular, for the case of m =n, it will be shown that all preimages are locally finite sets provided that the Lipschitzian function in question is directionally differentiable. Some consequences of this fact will be discussed

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