Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/2271
Title: On relatively contractive relations in pairs of generalized uniform spaces
Other Titles: Sobre relaciones relativamente contractivas en pares de espacios uniformes generalizados
Authors: Onieva, Víctor M., Ruiz, Javier
Keywords: Espacio uniforme generalizado
Conectores
Filtros
Espacios cuasiuniformes
Multifunción
F-estructura
Issue Date: 1982
Publisher: Real Sociedad Matemática Española
CSIC - Instituto Jorge Juan de Matemáticas
Abstract: J.C. Mathews and D.W. Curtis 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, an analogue of Banach's well-known contraction mapping theorem which trivially implies the main result of [4].
Description: El Instituto "Jorge Juan" de Matemáticas del CSIC se integraría posteriormente en el Instituto de Matemáticas y Física Fundamental (IMAFF).
URI: http://hdl.handle.net/10261/2271
ISSN: 0373-0999
Citation: Revista Matemática Hispanoamericana, 1982, 42 (4-5-6): 194-200.
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