Theorem on the local invertibility of differentiable maps of certain topological modules

DOI10.1007/BF01224840zbMath0427.46025OpenAlexW1971752223MaRDI QIDQ1136309

G. I. Kurapin

Publication date: 1979

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01224840

zbMATH Keywords

topological moduleslocal invertibility of differentiable maps

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (1)

On the existence and the stability of the solutions of certain nonlinear equations in topological modules of mappings

Cites Work

• The class of spaces in which the theorem on the bounded differentiability of the inverse mapping is valid
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