Weakly coercive mappings sharing a value
Some sufficient conditions are provided that guarantee that the difference of a compact mapping and a proper mapping defined between any two Banach spaces over K has at least one zero. When conditions are strengthened, this difference has at most a finite number of zeros throughout the entire space....
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/58813 |
| Acceso en línea: | http://hdl.handle.net/11441/58813 |
| Access Level: | acceso abierto |
| Palabra clave: | Zero point Continuation method C1-homotopy Surjerctive implicit function theorem Proper mapping Compact mapping Coercive mapping Fredholm mapping |
| Sumario: | Some sufficient conditions are provided that guarantee that the difference of a compact mapping and a proper mapping defined between any two Banach spaces over K has at least one zero. When conditions are strengthened, this difference has at most a finite number of zeros throughout the entire space. The proof of the result is constructive and is based upon a continuation method. |
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