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

被引：0

作者：

Ivanov, M. ^{[1
]}

Quincampoix, M. ^{[2
]}

Zlateva, N. ^{[3
]}

机构：

[1] Radiant Life Technol Ltd, Nicosia, Cyprus

[2] Univ Brest, CNRS UMR 6205, Lab Math Bretagne Atlantique, 6 Ave Victor Le Gorgeu, F-29200 Brest, France

[3] Sofia Univ, Fac Math & Informat, 5 James Bourchier blvd, Sofia 1164, Bulgaria

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2023年 / 31卷 / 02期

关键词：

Surjectivity; Metric regularity; Set-valued map; Implicit mapping theorem; Frechet-montel space; Nash-Moser-Ekeland theory; INVERSE FUNCTION THEOREM; NASH;

D O I：

10.1007/s11228-023-00679-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to new derivative criterion of metric regularity for set-valued map from a Frechet-Montel space to a Frechet 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.

引用

页数：13

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