On Nash-Moser-Ekeland inverse mapping theorem

DOI10.1007/s10013-019-00342-wzbMath1429.58020OpenAlexW2924999896WikidataQ128128082 ScholiaQ128128082MaRDI QIDQ2330970

Radek Cibulka, Marian J. Fabian

Publication date: 23 October 2019

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-019-00342-w

zbMATH Keywords

Fréchet spacemetric regularitylocal surjectionNash-Moser inverse mapping theorem

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Continuous and differentiable maps in nonlinear functional analysis (46T20) Implicit function theorems; global Newton methods on manifolds (58C15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (3)

Continuous selections for inverse mappings in Banach spaces ⋮ An inverse mapping theorem in Fréchet-Montel spaces ⋮ Metric regularity for set-valued maps in Fréchet-Montel spaces. Implicit mapping theorem

Cites Work

• Unnamed Item
• On primal regularity estimates for single-valued mappings
• An inverse function theorem in Fréchet spaces
• Ekeland's inverse function theorem in graded Fréchet spaces revisited for multifunctions
• Calculus Without Derivatives
• Metric regularity and subdifferential calculus
• Variational Analysis of Regular Mappings
• Smooth analysis in Banach spaces
• On primal regularity estimates for set-valued mappings

This page was built for publication: On Nash-Moser-Ekeland inverse mapping theorem