Isolated zeros of lipschitzian metrically regular -Functions
Peter Fusek · Optimization · 2001
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