A surjectivity result for nonlinear mappings on uniform spaces and applications
The main purpose of the present paper is to establish a surjectivity result for nonlinear continuous mappings on uniform spaces. Then one can prove that every surjective, continuous and expansive map of an uniform space onto itself has a unique fixed point. Moreover, such a map is a global homeomorp...
- Autores:
-
Angelov, Vasil G.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1988
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/43210
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/43210
http://bdigital.unal.edu.co/33308/
- Palabra clave:
- surjectivity result
expansive map
homeomorphism
theorem
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | The main purpose of the present paper is to establish a surjectivity result for nonlinear continuous mappings on uniform spaces. Then one can prove that every surjective, continuous and expansive map of an uniform space onto itself has a unique fixed point. Moreover, such a map is a global homeomorphism of the uniform space onto itself. As a consequence of the main theorem a generalization of McCord's theorem to locally convex spaces is proved. |
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