Artículo
A continuation method for weakly contractive mappings under the interior condition
Autor/es | Ariza Ruiz, David
Jiménez Melado, Antonio |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2009 |
Fecha de depósito | 2016-06-22 |
Publicado en |
|
Resumen | Recently, Frigon proved that, for weakly contractive maps, the property of having a fixed point is invariant by a certain class of homotopies, obtaining as a consequence a Leray-Schauder alternative for this class of maps ... Recently, Frigon proved that, for weakly contractive maps, the property of having a fixed point is invariant by a certain class of homotopies, obtaining as a consequence a Leray-Schauder alternative for this class of maps in a Banach space. We prove here that the Leray-Schauder condition in the aforementioned result can be replaced by a modification of it, the interior condition. We also show that our arguments work for a certain class of generalized contractions, thus complementing a result of Agarwal and O’Regan. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España Junta de Andalucía |
Identificador del proyecto | MTM2007-60854
FQM210 FQM1504 |
Cita | Ariza Ruiz, D. y Jiménez Melado, A. (2009). A continuation method for weakly contractive mappings under the interior condition. Fixed Point Theory and Applications, 2009, 1-8. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
A continuation method for weakly ... | 176.9Kb | [PDF] | Ver/ | |