An inverse mapping theorem in Fréchet-Montel spaces

DOI10.1007/s11228-020-00536-2zbMath1446.49014OpenAlexW3005681127MaRDI QIDQ2174928

Radek Cibulka, Tomáš Roubal, Marian J. Fabian

Publication date: 27 April 2020

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-020-00536-2

zbMATH Keywords

Fréchet-Montel spacedirectional semiregularitylocal surjectionNash-Moser inverse mapping theoremnonlinear imageright directional derivative

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) 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 (6)

On ranges of set-valued mappings ⋮ On ranges of non-linear operators ⋮ Metric regularity for set-valued maps in Fréchet-Montel spaces. Implicit mapping theorem ⋮ Stability of singular solutions of nonlinear equations with restricted smoothness assumptions ⋮ Unnamed Item ⋮ Inverse mapping theorem in Fréchet spaces

Cites Work

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• A Simple Case within Nash–Moser–Ekeland Theory
• Implicit Functions and Solution Mappings
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
• An Embedding Theorem for Spaces of Convex Sets
• On primal regularity estimates for set-valued mappings

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