Contra-continuous functions defined through ΛI-closed sets
We introduce some variants of contra-continuity in terms of ΛI-closed sets, namely contra-ΛI-continuous, contra quasi-ΛI-continuous and contra ΛI-irresolute functions. The relationships between these functions are investigated and their re-spective characterizations are established. Moreover, we stu...
- Autores:
-
SANABRIA, JOSÉ
GRANADOS, CARLOS
ROSAS, ENNIS
CARPINTERO, CARLOS
Rosas, Ennis
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2021
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/7792
- Acceso en línea:
- https://hdl.handle.net/11323/7792
http://doi.org/10.37394/23206.2020.19.70
https://repositorio.cuc.edu.co/
- Palabra clave:
- Ideal
local function
ΛI-set
ΛI-closed set
contra ΛI-continuous function
- Rights
- openAccess
- License
- Attribution-NonCommercial-NoDerivatives 4.0 International
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| dc.title.spa.fl_str_mv |
Contra-continuous functions defined through ΛI-closed sets |
| title |
Contra-continuous functions defined through ΛI-closed sets |
| spellingShingle |
Contra-continuous functions defined through ΛI-closed sets Ideal local function ΛI-set ΛI-closed set contra ΛI-continuous function |
| title_short |
Contra-continuous functions defined through ΛI-closed sets |
| title_full |
Contra-continuous functions defined through ΛI-closed sets |
| title_fullStr |
Contra-continuous functions defined through ΛI-closed sets |
| title_full_unstemmed |
Contra-continuous functions defined through ΛI-closed sets |
| title_sort |
Contra-continuous functions defined through ΛI-closed sets |
| dc.creator.fl_str_mv |
SANABRIA, JOSÉ GRANADOS, CARLOS ROSAS, ENNIS CARPINTERO, CARLOS Rosas, Ennis |
| dc.contributor.author.spa.fl_str_mv |
SANABRIA, JOSÉ GRANADOS, CARLOS ROSAS, ENNIS CARPINTERO, CARLOS |
| dc.contributor.author.none.fl_str_mv |
Rosas, Ennis |
| dc.subject.spa.fl_str_mv |
Ideal local function ΛI-set ΛI-closed set contra ΛI-continuous function |
| topic |
Ideal local function ΛI-set ΛI-closed set contra ΛI-continuous function |
| description |
We introduce some variants of contra-continuity in terms of ΛI-closed sets, namely contra-ΛI-continuous, contra quasi-ΛI-continuous and contra ΛI-irresolute functions. The relationships between these functions are investigated and their re-spective characterizations are established. Moreover, we study their behavior of several topological notions under the direct and inverse images of these functions. |
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2021 |
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2021-01-28T20:02:21Z |
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2021-01-28T20:02:21Z |
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2021 |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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http://purl.org/coar/resource_type/c_6501 |
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Text |
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https://hdl.handle.net/11323/7792 |
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http://doi.org/10.37394/23206.2020.19.70 |
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Corporación Universidad de la Costa |
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REDICUC - Repositorio CUC |
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https://repositorio.cuc.edu.co/ |
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https://hdl.handle.net/11323/7792 http://doi.org/10.37394/23206.2020.19.70 https://repositorio.cuc.edu.co/ |
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Corporación Universidad de la Costa REDICUC - Repositorio CUC |
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eng |
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eng |
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[1] F. G. Arenas, J. Dontchev, M. Ganster, On -setsand the dual of generalized continuity,QuestionsAnswers Gen. Topology, Vol.15, No.1, 1997, pp.3-13. [2] J. Dontchev, Contra-continuous functions andstronglyS-closed spaces,Int. J. Math. & Math.Sci., Vol. 19, No. 2, 1996, pp. 303-310. [3] J. Dontchev, Survey on preopen sets,The Pro-ceedings of the Yatsushiro Topological Confer-ence, 22-23 August 1998, pp. 1-18. [4] J. Dontchev, H. Maki, Onsg-closed sets andsemi- -closed sets,Questions Answers Gen.Topology, Vol. 15, No. 2, 1997, pp. 259-266. [5] D. S. Jankovic, T. R. Hamlett, New topologiesfrom old via ideals,Amer. Math. Monthly, Vol.97, 1990, pp. 295-310. [6] D. S. Jankovic, T. R. Hamlett, Compatible exten-sions of ideals,Boll. Un. Mat. Ital., Vol 7, No.6-B, 1992, pp. 453-465. [7] K. Kuratowski,Topologie I, Monografie Matem-atycznetom3,PWN-PolishScientificPublishers,Warszawa, 1933. [8] H. Maki, Generalized -sets and the associatedclosure operator,The special Issue in commem-oration of Prof. Kazusada IKEDA’s Retirement,1986, pp. 139-146. [9] A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, On precontinuous and weak precontinuousmappings,Proc. Math. Phys. Soc. Egypt, Vol. 53,1982, pp. 47-53. [10] T. Noiri, A. Keskin, On I-sets and some weakseparation axioms,Int. J. Math. Anal., Vol 5, No.11, 2011, pp. 539-548. 11] J.Sanabria, E.Acosta, M.Salas-Brown, O.Gar-cía, Continuity via I-open sets,Fasc. Math.,Vol. 54, 2015, pp. 141-151. [12] R. Staum, The algebra of bounded continuousfunctions into a non archimedian field,Pacific J.Math., Vol. 50, 1974, pp. 169-185. [13] S. Willard,General Topology, Addison-WesleyPublishing Company, Reading, Massachusetts,1970. |
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SANABRIA, JOSÉGRANADOS, CARLOSROSAS, ENNISCARPINTERO, CARLOSRosas, Ennisvirtual::973-12021-01-28T20:02:21Z2021-01-28T20:02:21Z2021https://hdl.handle.net/11323/7792http://doi.org/10.37394/23206.2020.19.70Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/We introduce some variants of contra-continuity in terms of ΛI-closed sets, namely contra-ΛI-continuous, contra quasi-ΛI-continuous and contra ΛI-irresolute functions. The relationships between these functions are investigated and their re-spective characterizations are established. Moreover, we study their behavior of several topological notions under the direct and inverse images of these functions.SANABRIA, JOSÉGRANADOS, CARLOSROSAS, ENNISCARPINTERO, CARLOSapplication/pdfengCorporación Universidad de la CostaAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2WSEAS Transactions on Mathematicshttps://www.wseas.org/multimedia/journals/mathematics/2020/b425106-1319.pdfIdeallocal functionΛI-setΛI-closed setcontra ΛI-continuous functionContra-continuous functions defined through ΛI-closed setsArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/acceptedVersion[1] F. G. Arenas, J. Dontchev, M. Ganster, On -setsand the dual of generalized continuity,QuestionsAnswers Gen. Topology, Vol.15, No.1, 1997, pp.3-13.[2] J. Dontchev, Contra-continuous functions andstronglyS-closed spaces,Int. J. Math. & Math.Sci., Vol. 19, No. 2, 1996, pp. 303-310.[3] J. Dontchev, Survey on preopen sets,The Pro-ceedings of the Yatsushiro Topological Confer-ence, 22-23 August 1998, pp. 1-18.[4] J. Dontchev, H. Maki, Onsg-closed sets andsemi- -closed sets,Questions Answers Gen.Topology, Vol. 15, No. 2, 1997, pp. 259-266.[5] D. S. Jankovic, T. R. Hamlett, New topologiesfrom old via ideals,Amer. Math. Monthly, Vol.97, 1990, pp. 295-310.[6] D. S. Jankovic, T. R. Hamlett, Compatible exten-sions of ideals,Boll. Un. Mat. Ital., Vol 7, No.6-B, 1992, pp. 453-465.[7] K. Kuratowski,Topologie I, Monografie Matem-atycznetom3,PWN-PolishScientificPublishers,Warszawa, 1933.[8] H. Maki, Generalized -sets and the associatedclosure operator,The special Issue in commem-oration of Prof. Kazusada IKEDA’s Retirement,1986, pp. 139-146.[9] A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, On precontinuous and weak precontinuousmappings,Proc. Math. Phys. Soc. Egypt, Vol. 53,1982, pp. 47-53.[10] T. Noiri, A. Keskin, On I-sets and some weakseparation axioms,Int. J. Math. Anal., Vol 5, No.11, 2011, pp. 539-548.11] J.Sanabria, E.Acosta, M.Salas-Brown, O.Gar-cía, Continuity via I-open sets,Fasc. Math.,Vol. 54, 2015, pp. 141-151.[12] R. Staum, The algebra of bounded continuousfunctions into a non archimedian field,Pacific J.Math., Vol. 50, 1974, pp. 169-185.[13] S. 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