Aplicaciones no conmutativas y puntos fijos
If f, g are continuous maps of a complete metric space X such that fg = gf, d(g(x),g(y) ∝d(f (x),f (y) for some 0 and lt; ∝ and lt; 1, and g(X) ⊑ f(X) ) ⊑ X, then f, g have a common fixed point. This is a result of G. Jungck; K.M. Das and K. Viswanatha Naik have generalized this ~esult by deleting t...
- Autores:
-
Rodríguez Montes, Jaime
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1987
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/43163
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/43163
http://bdigital.unal.edu.co/33261/
- Palabra clave:
- Jungck theorems
metric space / Teoremas de Jungck
espacio metrico
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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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_abf2Rodríguez Montes, Jaime1c6247a1-0750-4b1c-ba45-fb63828bdf1e3002019-06-28T11:38:08Z2019-06-28T11:38:08Z1987https://repositorio.unal.edu.co/handle/unal/43163http://bdigital.unal.edu.co/33261/If f, g are continuous maps of a complete metric space X such that fg = gf, d(g(x),g(y) ∝d(f (x),f (y) for some 0 and lt; ∝ and lt; 1, and g(X) ⊑ f(X) ) ⊑ X, then f, g have a common fixed point. This is a result of G. Jungck; K.M. Das and K. Viswanatha Naik have generalized this ~esult by deleting the continuity of f but assuming instead that of f2. A result that generalizes those above, but does not assume thecontinuity of either f or f2 or the commutativity of f and g is proposed. The impossed conditions are that for some non empty complete subset K of X, g(K) ) ⊑ f(K) ~ K, that d(g(x), g(y)) ad(f(x),f(y)), 0 and lt; ∝ and lt; 1, x,y ∈ K, and that if x ∈ X, the existence of a sequence {xn} of K such that lím f(xn) = lím g(xn) = x ensures that f(x) = g(x).application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33060Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 21, núm. 2-4 (1987); 257-262 0034-7426Rodríguez Montes, Jaime (1987) Aplicaciones no conmutativas y puntos fijos. Revista Colombiana de Matemáticas; Vol. 21, núm. 2-4 (1987); 257-262 0034-7426 .Aplicaciones no conmutativas y puntos fijosArtículo 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/ARTJungck theoremsmetric space / Teoremas de Jungckespacio metricoORIGINAL33060-122538-1-PB.pdfapplication/pdf1395625https://repositorio.unal.edu.co/bitstream/unal/43163/1/33060-122538-1-PB.pdfcfe3661f94c0224ed0cfb7350550a10cMD51THUMBNAIL33060-122538-1-PB.pdf.jpg33060-122538-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6175https://repositorio.unal.edu.co/bitstream/unal/43163/2/33060-122538-1-PB.pdf.jpg1e404cd04d5a625b1958bf10d1da01e0MD52unal/43163oai:repositorio.unal.edu.co:unal/431632024-02-08 23:06:50.79Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
dc.title.spa.fl_str_mv |
Aplicaciones no conmutativas y puntos fijos |
title |
Aplicaciones no conmutativas y puntos fijos |
spellingShingle |
Aplicaciones no conmutativas y puntos fijos Jungck theorems metric space / Teoremas de Jungck espacio metrico |
title_short |
Aplicaciones no conmutativas y puntos fijos |
title_full |
Aplicaciones no conmutativas y puntos fijos |
title_fullStr |
Aplicaciones no conmutativas y puntos fijos |
title_full_unstemmed |
Aplicaciones no conmutativas y puntos fijos |
title_sort |
Aplicaciones no conmutativas y puntos fijos |
dc.creator.fl_str_mv |
Rodríguez Montes, Jaime |
dc.contributor.author.spa.fl_str_mv |
Rodríguez Montes, Jaime |
dc.subject.proposal.spa.fl_str_mv |
Jungck theorems metric space / Teoremas de Jungck espacio metrico |
topic |
Jungck theorems metric space / Teoremas de Jungck espacio metrico |
description |
If f, g are continuous maps of a complete metric space X such that fg = gf, d(g(x),g(y) ∝d(f (x),f (y) for some 0 and lt; ∝ and lt; 1, and g(X) ⊑ f(X) ) ⊑ X, then f, g have a common fixed point. This is a result of G. Jungck; K.M. Das and K. Viswanatha Naik have generalized this ~esult by deleting the continuity of f but assuming instead that of f2. A result that generalizes those above, but does not assume thecontinuity of either f or f2 or the commutativity of f and g is proposed. The impossed conditions are that for some non empty complete subset K of X, g(K) ) ⊑ f(K) ~ K, that d(g(x), g(y)) ad(f(x),f(y)), 0 and lt; ∝ and lt; 1, x,y ∈ K, and that if x ∈ X, the existence of a sequence {xn} of K such that lím f(xn) = lím g(xn) = x ensures that f(x) = g(x). |
publishDate |
1987 |
dc.date.issued.spa.fl_str_mv |
1987 |
dc.date.accessioned.spa.fl_str_mv |
2019-06-28T11:38:08Z |
dc.date.available.spa.fl_str_mv |
2019-06-28T11:38:08Z |
dc.type.spa.fl_str_mv |
Artículo de revista |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
dc.type.coarversion.spa.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.content.spa.fl_str_mv |
Text |
dc.type.redcol.spa.fl_str_mv |
http://purl.org/redcol/resource_type/ART |
format |
http://purl.org/coar/resource_type/c_6501 |
status_str |
publishedVersion |
dc.identifier.uri.none.fl_str_mv |
https://repositorio.unal.edu.co/handle/unal/43163 |
dc.identifier.eprints.spa.fl_str_mv |
http://bdigital.unal.edu.co/33261/ |
url |
https://repositorio.unal.edu.co/handle/unal/43163 http://bdigital.unal.edu.co/33261/ |
dc.language.iso.spa.fl_str_mv |
spa |
language |
spa |
dc.relation.spa.fl_str_mv |
http://revistas.unal.edu.co/index.php/recolma/article/view/33060 |
dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
dc.relation.ispartofseries.none.fl_str_mv |
Revista Colombiana de Matemáticas; Vol. 21, núm. 2-4 (1987); 257-262 0034-7426 |
dc.relation.references.spa.fl_str_mv |
Rodríguez Montes, Jaime (1987) Aplicaciones no conmutativas y puntos fijos. Revista Colombiana de Matemáticas; Vol. 21, núm. 2-4 (1987); 257-262 0034-7426 . |
dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.license.spa.fl_str_mv |
Atribución-NoComercial 4.0 Internacional |
dc.rights.uri.spa.fl_str_mv |
http://creativecommons.org/licenses/by-nc/4.0/ |
dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
eu_rights_str_mv |
openAccess |
dc.format.mimetype.spa.fl_str_mv |
application/pdf |
dc.publisher.spa.fl_str_mv |
Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas |
institution |
Universidad Nacional de Colombia |
bitstream.url.fl_str_mv |
https://repositorio.unal.edu.co/bitstream/unal/43163/1/33060-122538-1-PB.pdf https://repositorio.unal.edu.co/bitstream/unal/43163/2/33060-122538-1-PB.pdf.jpg |
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Repositorio Institucional Universidad Nacional de Colombia |
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repositorio_nal@unal.edu.co |
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