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...
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1988 |
| País: | Colombia |
| Recursos: | Universidad Nacional de Colombia |
| Repositorio: | Repositorio UN |
| Idioma: | español |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/43210 |
| Acesso em linha: | https://repositorio.unal.edu.co/handle/unal/43210 http://bdigital.unal.edu.co/33308/ |
| Access Level: | acceso abierto |
| Palavra-chave: | surjectivity result expansive map homeomorphism theorem |
| Resumo: | 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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