For a locally Lipschitz map f:R<sup>n</sup>→E<sup>n</sup>,the well known inverse function theoremgives a sufficient condition for f to be a Lipschitz local homeomorphims at a point x<sub>...For a locally Lipschitz map f:R<sup>n</sup>→E<sup>n</sup>,the well known inverse function theoremgives a sufficient condition for f to be a Lipschitz local homeomorphims at a point x<sub>0</sub>,that is,（?）f（x<sub>0</sub>）is invertible.In this paper,it is showed that this condition is notnecessary and some necessary and sufficient conditions are given.展开更多
文摘For a locally Lipschitz map f:R<sup>n</sup>→E<sup>n</sup>,the well known inverse function theoremgives a sufficient condition for f to be a Lipschitz local homeomorphims at a point x<sub>0</sub>,that is,（?）f（x<sub>0</sub>）is invertible.In this paper,it is showed that this condition is notnecessary and some necessary and sufficient conditions are given.
