A proof of the inverse function theorem
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 condit...
- Autores:
-
Restrepo Sierra, Guillermo
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1971
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/42195
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/42195
http://bdigital.unal.edu.co/32292/
- Palabra clave:
- function theorem
theorem
differential equations
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | 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. |
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