Inverse mapping theorem in Fréchet spaces

Autor:	Nadia Zlateva, Milen Ivanov
Rok vydání:	2021
Předmět:	Control and Optimization Differential equation Fréchet space Applied Mathematics Theory of computation Applied mathematics Inverse Development (differential geometry) Differentiable function Management Science and Operations Research Variational analysis Mathematics
Zdroj:	Journal of Optimization Theory and Applications. 190:300-315
ISSN:	1573-2878 0022-3239
DOI:	10.1007/s10957-021-01885-0
Popis:	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 coupled with certain ideas coming from variational analysis when applied to a directionally differentiable mapping produces very general surjectivity result and, if injectivity can be ensured, inverse mapping theorem with the expected Lipschitz-like continuity of the inverse. We also present a brief application to differential equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7b6c83c4ba40ba705812107591c21c61 https://doi.org/10.1007/s10957-021-01885-0 Zobrazit plný text záznamu Full text from SpringerLink