- Title
- Ekeland's inverse function theorem in graded Fréchet spaces revisited for multifunctions
- Creator
- Huynh, Van Ngai; Théra, Michel
- Date
- 2018
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159929
- Identifier
- vital:12069
- Identifier
-
https://doi.org/10.1016/j.jmaa.2017.07.040
- Identifier
- ISSN:0022-247X
- 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.
- Publisher
- Elsevier Inc.
- Relation
- Journal of Mathematical Analysis and Applications Vol. 457, no. 2 (2018), p. 1403-1421; http://purl.org/au-research/grants/arc/DP160100854
- Rights
- Copyright © 2017, Springer-Verlag Berlin Heidelberg.
- Rights
- This metadata is freely available under a CCO license
- Rights
- Open Access
- Subject
- Inverse function theorem; Fréchet space; Nash–Moser theorem; Contingent derivative; Ekeland's variational principle; Implicit multifunction theorem
- Full Text
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