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http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2271| Title: | On relatively contractive relations in pairs of generalized uniform spaces Sobre relaciones relativamente contractivas en pares de espacios uniformes generalizados |
| Keywords: | Espacio uniforme generalizado Conectores Filtros Espacios cuasiuniformes Multifunción F-estructura |
| Publisher: | Real Sociedad Matemática Española CSIC - Instituto Jorge Juan de Matemáticas |
| Description: | El Instituto "Jorge Juan" de Matemáticas del CSIC se integraría posteriormente en el Instituto de Matemáticas y Física Fundamental (IMAFF). 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]. Peer reviewed |
| URI: | http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2271 |
| Other Identifiers: | Revista Matemática Hispanoamericana, 1982, 42 (4-5-6): 194-200. 0373-0999 http://hdl.handle.net/10261/2271 |
| Appears in Collections: | Digital Csic |
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