Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774404 | Journal of Mathematical Analysis and Applications | 2018 | 23 Pages |
Abstract
In this paper, we present some inverse function theorems and implicit function theorems for set-valued mappings between Fréchet spaces. The proof relies on Lebesgue's Dominated Convergence Theorem and on Ekeland's variational principle. An application to the existence of solutions of differential equations in Fréchet spaces with non-smooth data is given.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Huynh Van Ngai, Michel Théra,