Influenced by a recent note by M. Ivanov and N. Zlateva, we prove a statement in the style of
Nash-Moser-Ekeland theorem for mappings from a Fréchet-Montel space with values in any …

A simple case within Nash-Moser-Ekeland theory arXiv:1809.00630v3 [math.FA] 12 Dec
2018 Page 1 A simple case within Nash-Moser-Ekeland theory ∗ M. Ivanov † N. Zlateva ‡ …

This paper is devoted to new derivative criterion of metric regularity for set-valued map from
a Fréchet-Montel space to a Fréchet space. Such type of criteria have been well studied in …

We consider the classical inverse mapping theorem of Nash and Moser from the angle of
some recent development by Ekeland and the authors. Geometrisation of tame estimates …

We consider the classical inverse mapping theorem of Nash and Moser from the angle of
some recent development by Ekeland and the authors. Geometrisation of tame estimates …

A simple case of Nash-Moser-Ekeland theorem Page 1 A simple case of Nash-Moser-Ekeland
theorem ∗ M. Ivanov † N. Zlateva ‡ 21.09.2018 Abstract We present simple and direct proof …

Nash-Moser Theorem is an inverse function theorem in Fréchet spaces, see [5]. It is used in
problems with infinitely smooth data and loss of derivatives. Its proof uses Newton type …