Metric Regularity for Set-Valued Maps in Fréchet-Montel Spaces. Implicit Mapping Theorem

被引：0
|
作者：
M. Ivanov
M. Quincampoix
N. Zlateva
机构：
[1] Radiant Life Technologies Ltd,Univ Brest
[2] CNRS UMR 6205 Laboratoire de Mathematiques de Bretagne Atlantique,Faculty of Mathematics and Informatics
[3] Sofia University,undefined
来源：
Set-Valued and Variational Analysis | 2023年 / 31卷
关键词：
Surjectivity; Metric regularity; Set-valued map; Implicit mapping theorem; Fréchet-montel space; Nash-Moser-Ekeland theory; 49J53; 47H04; 54H25;
D O I：
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摘要：
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 Banach spaces. Our work extends recent studies motivated by Nash-Moser-Ekeland approach. As a consequence of our criterion, an implicit mapping result is also given in the paper.
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