A proof of the inverse function theorem

Guillermo Restrepo Sierra

Publicado

1971-04-01

A proof of the inverse function theorem

Palabras clave:

function theorem, theorem, differential equations (es)

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Autores/as

Guillermo Restrepo Sierra Universidad del Valle

Resumen (en)

The purpose of this note is to give a proof, hopefully new, of the inverse function theorem as an application of the local existence theorem for differential equations. If Ω is an open subset of a Banach space E and T: Ω → E is of class C¹, then T is locally bounded and satisfies a Lipschitz condition at every point.

Cómo citar

APA

Restrepo Sierra, G. (1971). A proof of the inverse function theorem. Revista Colombiana de Matemáticas, 5(2), 19–23. https://revistas.unal.edu.co/index.php/recolma/article/view/31783

ACM

[1]

Restrepo Sierra, G. 1971. A proof of the inverse function theorem. Revista Colombiana de Matemáticas. 5, 2 (abr. 1971), 19–23.

ACS

(1)

Restrepo Sierra, G. A proof of the inverse function theorem. rev.colomb.mat 1971, 5, 19-23.

ABNT

RESTREPO SIERRA, G. A proof of the inverse function theorem. Revista Colombiana de Matemáticas, [S. l.], v. 5, n. 2, p. 19–23, 1971. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/31783. Acesso em: 10 mar. 2025.

Chicago

Restrepo Sierra, Guillermo. 1971. «A proof of the inverse function theorem». Revista Colombiana De Matemáticas 5 (2):19-23. https://revistas.unal.edu.co/index.php/recolma/article/view/31783.

Harvard

Restrepo Sierra, G. (1971) «A proof of the inverse function theorem», Revista Colombiana de Matemáticas, 5(2), pp. 19–23. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/31783 (Accedido: 10 marzo 2025).

IEEE

[1]

G. Restrepo Sierra, «A proof of the inverse function theorem», rev.colomb.mat, vol. 5, n.º 2, pp. 19–23, abr. 1971.

MLA

Restrepo Sierra, G. «A proof of the inverse function theorem». Revista Colombiana de Matemáticas, vol. 5, n.º 2, abril de 1971, pp. 19-23, https://revistas.unal.edu.co/index.php/recolma/article/view/31783.

Turabian

Restrepo Sierra, Guillermo. «A proof of the inverse function theorem». Revista Colombiana de Matemáticas 5, no. 2 (abril 1, 1971): 19–23. Accedido marzo 10, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/31783.

Vancouver

1.

Restrepo Sierra G. A proof of the inverse function theorem. rev.colomb.mat [Internet]. 1 de abril de 1971 [citado 10 de marzo de 2025];5(2):19-23. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/31783