General implicit function theorem for close mappings

DOI10.1134/S0081543821050011zbMath1494.47095OpenAlexW4205683763MaRDI QIDQ2071545

Gregorij G. Magaril-Il'yaev, Evgeniy Avakov

Publication date: 28 January 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821050011

zbMATH Keywords

implicit function theoremmetric regularity

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (1)

On the continuous dependence of a solution of a differential equation on the right-hand side and boundary conditions

Cites Work

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• Stability theorem and extremum conditions for abnormal problems
• An implicit function theorem for inclusions defined by close mappings
• Theorems on estimates in the neighborhood of a singular point of a mapping
• Bartle-Graves theorem revisited

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