Ekeland's inverse function theorem in graded Fréchet spaces revisited for multifunctions

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 diffe...

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Bibliographic Details

Published in:	Journal of mathematical analysis and applications Vol. 457; no. 2; pp. 1403 - 1421
Main Authors:	Huynh, Van Ngai, Théra, Michel
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15.01.2018
Subjects:	Contingent derivative Ekeland's variational principle Fréchet space Implicit multifunction theorem Inverse function theorem Nash–Moser theorem Fréchet space Implicit multifunction theorem Nash–Moser theorem Contingent derivative Ekeland's variational principle Inverse function theorem
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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