Generalizations of Z-supercontinuous functions and Dδ-supercontinuous functions

[EN] Two new classes of functions, called ‘almost z-supercontinuous functions’ and ’almost Dδ-supercontinuous functions’ are introduced. The class of almost z-supercontinuous functions properly includes the class of z-supercontinuous functions (Indian J. Pure Appl. Math. 33(7), (2002), 1097-1108) as...

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Detalles Bibliográficos
Autores: Kohli, J.K., Singh, D., Kumar, Rajesh
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/86440
Acceso en línea:https://riunet.upv.es/handle/10251/86440
Access Level:acceso abierto
Palabra clave:(almost) z-supercontinuous function
(almost) Dδ-supercontinuous function
(almost) strongly θ-continuous function
Almost continuous function
δ-continuous function
faintly continuous function
uθ-closed graph
θ-closed graph
uθ-limit point
θ-limit po
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repository_id_str
spelling Generalizations of Z-supercontinuous functions and Dδ-supercontinuous functionsKohli, J.K.Singh, D.Kumar, Rajesh(almost) z-supercontinuous function(almost) Dδ-supercontinuous function(almost) strongly θ-continuous functionAlmost continuous functionδ-continuous functionfaintly continuous functionuθ-closed graphθ-closed graphuθ-limit pointθ-limit po[EN] Two new classes of functions, called ‘almost z-supercontinuous functions’ and ’almost Dδ-supercontinuous functions’ are introduced. The class of almost z-supercontinuous functions properly includes the class of z-supercontinuous functions (Indian J. Pure Appl. Math. 33(7), (2002), 1097-1108) as well as the class of almost clopen maps due to Ekici (Acta. Math. Hungar. 107(3), (2005), 193-206) and is properly contained in the class of almost Dδ-supercontinuous functions which in turn constitutes a proper subclass of the class of almost strongly θ-continuous functions due to Noiri and Kang (Indian J. Pure Appl. Math. 15(1), (1984), 1-8) and which in its turn include all δ-continuous functions of Noiri (J. Korean Math. Soc. 16 (1980), 161-166). Characterizations and basic properties of almost z-supercontinuous functions and almost Dδ-supercontinuous functions are discussed and their place in the hierarchy of variants of continuity is elaborated. Moreover, properties of almost strongly θ-continuous functions are investigated and sufficient conditions for almost strongly θ-continuous functions to have u θ-closed (θ-closed) graph are formulated.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20082008-10-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/86440reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/864402026-06-13T07:49:27Z
dc.title.none.fl_str_mv Generalizations of Z-supercontinuous functions and Dδ-supercontinuous functions
title Generalizations of Z-supercontinuous functions and Dδ-supercontinuous functions
spellingShingle Generalizations of Z-supercontinuous functions and Dδ-supercontinuous functions
Kohli, J.K.
(almost) z-supercontinuous function
(almost) Dδ-supercontinuous function
(almost) strongly θ-continuous function
Almost continuous function
δ-continuous function
faintly continuous function
uθ-closed graph
θ-closed graph
uθ-limit point
θ-limit po
title_short Generalizations of Z-supercontinuous functions and Dδ-supercontinuous functions
title_full Generalizations of Z-supercontinuous functions and Dδ-supercontinuous functions
title_fullStr Generalizations of Z-supercontinuous functions and Dδ-supercontinuous functions
title_full_unstemmed Generalizations of Z-supercontinuous functions and Dδ-supercontinuous functions
title_sort Generalizations of Z-supercontinuous functions and Dδ-supercontinuous functions
dc.creator.none.fl_str_mv Kohli, J.K.
Singh, D.
Kumar, Rajesh
author Kohli, J.K.
author_facet Kohli, J.K.
Singh, D.
Kumar, Rajesh
author_role author
author2 Singh, D.
Kumar, Rajesh
author2_role author
author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv (almost) z-supercontinuous function
(almost) Dδ-supercontinuous function
(almost) strongly θ-continuous function
Almost continuous function
δ-continuous function
faintly continuous function
uθ-closed graph
θ-closed graph
uθ-limit point
θ-limit po
topic (almost) z-supercontinuous function
(almost) Dδ-supercontinuous function
(almost) strongly θ-continuous function
Almost continuous function
δ-continuous function
faintly continuous function
uθ-closed graph
θ-closed graph
uθ-limit point
θ-limit po
description [EN] Two new classes of functions, called ‘almost z-supercontinuous functions’ and ’almost Dδ-supercontinuous functions’ are introduced. The class of almost z-supercontinuous functions properly includes the class of z-supercontinuous functions (Indian J. Pure Appl. Math. 33(7), (2002), 1097-1108) as well as the class of almost clopen maps due to Ekici (Acta. Math. Hungar. 107(3), (2005), 193-206) and is properly contained in the class of almost Dδ-supercontinuous functions which in turn constitutes a proper subclass of the class of almost strongly θ-continuous functions due to Noiri and Kang (Indian J. Pure Appl. Math. 15(1), (1984), 1-8) and which in its turn include all δ-continuous functions of Noiri (J. Korean Math. Soc. 16 (1980), 161-166). Characterizations and basic properties of almost z-supercontinuous functions and almost Dδ-supercontinuous functions are discussed and their place in the hierarchy of variants of continuity is elaborated. Moreover, properties of almost strongly θ-continuous functions are investigated and sufficient conditions for almost strongly θ-continuous functions to have u θ-closed (θ-closed) graph are formulated.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-10-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/86440
url https://riunet.upv.es/handle/10251/86440
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de València
publisher.none.fl_str_mv Universitat Politècnica de València
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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