Título inglés |
On relatively contractive relations in pairs of generalized uniform spaces. |
Título español |
Sobre relaciones relativamente contractivas en pares de espacios uniformes generalizados. |
Autor/es |
Onieva Aleixandre, Víctor M. ; Ruiz Fernández de Pinedo, Javier |
Organización |
Fac. Cienc. Univ. Santander, Santander, España;Inst. Mat. Jorge Juan [CSIC], Madrid, España |
Revista |
0373-0999 |
Publicación |
1982, 42 (4-5-6): 194-200, 7 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
J. C. Mathews and D. W. Curtis, [4], have introduced some structures which generalize structures of uniform types to the product of two sets, and they obtain a generalized version of Banach's contraction mapping theorem. In this note we prove that these structures are obtained from the usual analogues by means of a particular bijection; hence we do not have a meaningful generalization. For example, this bijection provides, from a result by A. S. Davies, [1], an analogue of Banach's well-known contraction mapping theorem which trivially implies the main result of [4]. |
Clasificación UNESCO |
121005 |
Palabras clave español |
Espacio uniforme generalizado ; Conectores ; Filtros ; Espacios cuasiuniformes ; Multifunción ; F-estructura |
Acceso al artículo completo |