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On relatively contractive relations in pairs of generalized uniform spaces

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dc.creator Onieva, Víctor M.
dc.creator Ruiz, Javier
dc.date 2007-11-21T11:18:00Z
dc.date 2007-11-21T11:18:00Z
dc.date 1982
dc.date.accessioned 2017-01-31T00:58:53Z
dc.date.available 2017-01-31T00:58:53Z
dc.identifier Revista Matemática Hispanoamericana, 1982, 42 (4-5-6): 194-200.
dc.identifier 0373-0999
dc.identifier http://hdl.handle.net/10261/2271
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2271
dc.description El Instituto "Jorge Juan" de Matemáticas del CSIC se integraría posteriormente en el Instituto de Matemáticas y Física Fundamental (IMAFF).
dc.description 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].
dc.description Peer reviewed
dc.language eng
dc.publisher Real Sociedad Matemática Española
dc.publisher CSIC - Instituto Jorge Juan de Matemáticas
dc.rights openAccess
dc.subject Espacio uniforme generalizado
dc.subject Conectores
dc.subject Filtros
dc.subject Espacios cuasiuniformes
dc.subject Multifunción
dc.subject F-estructura
dc.title On relatively contractive relations in pairs of generalized uniform spaces
dc.title Sobre relaciones relativamente contractivas en pares de espacios uniformes generalizados
dc.type Artículo


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