On a fixed point theorem by totik

In this paper we prove a common fixed point theorem (see Theorem 3.1) in metric spaces for two self-mappings satisfying a general implicit relation involving the diameter of nite sets, without requiring continuity. This theorem may be considered as a generalization of a result by Totik (1983). Also,...

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Autores:
Akkouchi, Mohamed
Tipo de recurso:
Article of journal
Fecha de publicación:
2009
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73760
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73760
http://bdigital.unal.edu.co/38237/
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openAccess
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Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Akkouchi, Mohamed5dbd209d-fc25-446a-9d88-760ea260ba333002019-07-03T16:48:26Z2019-07-03T16:48:26Z2009https://repositorio.unal.edu.co/handle/unal/73760http://bdigital.unal.edu.co/38237/In this paper we prove a common fixed point theorem (see Theorem 3.1) in metric spaces for two self-mappings satisfying a general implicit relation involving the diameter of nite sets, without requiring continuity. This theorem may be considered as a generalization of a result by Totik (1983). Also, it unies and generalizes some other results obtained by Fisher (1977), Akkouchi (2001) and Nova (1997).application/pdfspaBoletín de Matemáticashttp://revistas.unal.edu.co/index.php/bolma/article/view/40772Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasBoletín de Matemáticas; Vol. 16, núm. 1 (2009); 21-32 Boletín de Matemáticas; Vol. 16, núm. 1 (2009); 21-32 2357-6529 0120-0380Akkouchi, Mohamed (2009) On a fixed point theorem by totik. Boletín de Matemáticas; Vol. 16, núm. 1 (2009); 21-32 Boletín de Matemáticas; Vol. 16, núm. 1 (2009); 21-32 2357-6529 0120-0380 .On a fixed point theorem by totikArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL40772-183601-1-PB.pdfapplication/pdf75686https://repositorio.unal.edu.co/bitstream/unal/73760/1/40772-183601-1-PB.pdf5604c857a0618f09f1e5de4ce74d1986MD51THUMBNAIL40772-183601-1-PB.pdf.jpg40772-183601-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5075https://repositorio.unal.edu.co/bitstream/unal/73760/2/40772-183601-1-PB.pdf.jpgee1e24be0b2af850eba1dadefaa8d306MD52unal/73760oai:repositorio.unal.edu.co:unal/737602024-06-25 23:12:13.845Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On a fixed point theorem by totik
title On a fixed point theorem by totik
spellingShingle On a fixed point theorem by totik
title_short On a fixed point theorem by totik
title_full On a fixed point theorem by totik
title_fullStr On a fixed point theorem by totik
title_full_unstemmed On a fixed point theorem by totik
title_sort On a fixed point theorem by totik
dc.creator.fl_str_mv Akkouchi, Mohamed
dc.contributor.author.spa.fl_str_mv Akkouchi, Mohamed
description In this paper we prove a common fixed point theorem (see Theorem 3.1) in metric spaces for two self-mappings satisfying a general implicit relation involving the diameter of nite sets, without requiring continuity. This theorem may be considered as a generalization of a result by Totik (1983). Also, it unies and generalizes some other results obtained by Fisher (1977), Akkouchi (2001) and Nova (1997).
publishDate 2009
dc.date.issued.spa.fl_str_mv 2009
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:48:26Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:48:26Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/73760
http://bdigital.unal.edu.co/38237/
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dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Boletín de Matemáticas; Vol. 16, núm. 1 (2009); 21-32 Boletín de Matemáticas; Vol. 16, núm. 1 (2009); 21-32 2357-6529 0120-0380
dc.relation.references.spa.fl_str_mv Akkouchi, Mohamed (2009) On a fixed point theorem by totik. Boletín de Matemáticas; Vol. 16, núm. 1 (2009); 21-32 Boletín de Matemáticas; Vol. 16, núm. 1 (2009); 21-32 2357-6529 0120-0380 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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