| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4621860 | Journal of Mathematical Analysis and Applications | 2008 | 12 Pages |
Abstract
In the framework of the theory of normal coderivative for multifunctions, new implicit function theorems 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.S. Mordukhovich and Y. Shao [B.S. Mordukhovich, Y. Shao, Nonsmooth sequential analysis in Asplund spaces, Trans. Amer. Math. Soc. 348 (1996) 1235–1280].
Related Topics
Physical Sciences and Engineering
Mathematics
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