On relatively contractive relations in pairs of generalized uniform spaces.

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
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