On Implicit Function Theorems For Multifunctions

摘要

Using normal coderivative for multifunctions, new implicit function theorems for multi-functions are obtained. The main tools of the proofs are the Ekeland variational principle, a nonsmooth version of Fermat's rule, a sum rule, and the differential estimate for marginal functions established by B. M. Mordukhovich and Y. Shao [[1], Trans. Amer. Math. Soc. 348 (1996) 1235-1280].