Über lipschitzstetige implizite Funktionen

Abstract

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 $[\partial F/\partial x(x^0,z^0)+K(z^0){]}^{–1}\in \mathrm{Lip}(Y,X)$.