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Zeitschrift für Analysis und ihre Anwendungen


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Volume 8, Issue 3, 1989, pp. 289–292
DOI: 10.4171/ZAA/354

Published online: 1989-06-30

Über lipschitzstetige implizite Funktionen

Arno Langenbach

A solution of the implicit function $F(x, z) + K(z)x = 0$ with $K(z) \in \mathrm {Lip} (Y, X)$ becomes possible if we propose $[\partial F / \partial x (x^0, z^0) + K(z^0)]^{–1} \in \mathrm {Lip} (Y, X)$.

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Langenbach Arno: Über lipschitzstetige implizite Funktionen. Z. Anal. Anwend. 8 (1989), 289-292. doi: 10.4171/ZAA/354