An infinitesimal proof of the implicit function theorem

DOI10.1017/S001708950000971XzbMath0782.26010OpenAlexW2162195173MaRDI QIDQ4202629

Nigel J. Cutland, Hanqiao Feng

Publication date: 24 February 1994

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

Full work available at URL: https://doi.org/10.1017/s001708950000971x

zbMATH Keywords

Fréchet derivativenonstandard analysisimplicit function theorem

Mathematics Subject Classification ID

Implicit function theorems, Jacobians, transformations with several variables (26B10) Nonstandard analysis (26E35)

Related Items (1)

On Non-linear Optimization with a Perturbed Objective Function

Cites Work

• Applications of nonstandard analysis to partial differential equations—I. the diffusion equation
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