Weakly ω-continuous functions in bitopological spaces
In this paper, as a generalization of u-ω-continuous functions, we introduce the notion of weakly ω-continuous functions in bitopological spaces and obtain several characterizations and some of its properties.
- Autores:
-
Carpintero, C.
Rajalakshmi, R.
Rajesh, N.
ROSAS, ENNIS
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2022
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/9424
- Acceso en línea:
- https://hdl.handle.net/11323/9424
https://repositorio.cuc.edu.co/
- Palabra clave:
- Bitopological spaces
u-ω-open sets
Weakly continuous function
- Rights
- openAccess
- License
- Atribución-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0)
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Weakly ω-continuous functions in bitopological spaces |
| title |
Weakly ω-continuous functions in bitopological spaces |
| spellingShingle |
Weakly ω-continuous functions in bitopological spaces Bitopological spaces u-ω-open sets Weakly continuous function |
| title_short |
Weakly ω-continuous functions in bitopological spaces |
| title_full |
Weakly ω-continuous functions in bitopological spaces |
| title_fullStr |
Weakly ω-continuous functions in bitopological spaces |
| title_full_unstemmed |
Weakly ω-continuous functions in bitopological spaces |
| title_sort |
Weakly ω-continuous functions in bitopological spaces |
| dc.creator.fl_str_mv |
Carpintero, C. Rajalakshmi, R. Rajesh, N. ROSAS, ENNIS |
| dc.contributor.author.spa.fl_str_mv |
Carpintero, C. Rajalakshmi, R. Rajesh, N. ROSAS, ENNIS |
| dc.subject.proposal.eng.fl_str_mv |
Bitopological spaces u-ω-open sets Weakly continuous function |
| topic |
Bitopological spaces u-ω-open sets Weakly continuous function |
| description |
In this paper, as a generalization of u-ω-continuous functions, we introduce the notion of weakly ω-continuous functions in bitopological spaces and obtain several characterizations and some of its properties. |
| publishDate |
2022 |
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2022-08-02T19:05:35Z |
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2022-08-02T19:05:35Z |
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2022 |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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Text |
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1126-8042 |
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https://hdl.handle.net/11323/9424 |
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2239-0227 |
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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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1126-8042 2239-0227 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
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https://hdl.handle.net/11323/9424 https://repositorio.cuc.edu.co/ |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.ispartofjournal.spa.fl_str_mv |
Italian Journal of Pure and Applied Mathematics |
| dc.relation.references.spa.fl_str_mv |
[1] S. Al Ghour, S. Issa, On u-ω-open and q-ω-open sets in bitopological spaces, Missouri J. Math. Sci., (24) (2012), 37-53. [2] A. Al-Omari, M. S. M. Noorani, Contra-ω-continuous and almost ωcontinuous functions, Int. J. Math. Math. Sci., 9 (2007), 169-179. [3] A. Al-Omari, T. Noiri, M. S. M. Noorani, Weak and strong forms of ωcontinuous functions, Int. J. Math. Math. Sci., 9 (2009), 1-13. [4] K. Al-Zoubi, B. Al-Nashef, The topology of ω-open subsets, Al-Manarah, 9 (2003), 169-179. [5] K. Al-Zoubi, On generalized ω-closed sets, Int. J. Math. Math. Sci., 13 (2005), 2011-2021. [6] C. Carpintero, N. Rajesh, E. Rosas, R. Rajalakshmi, Almost ω-continuous functions in bitopological spaces, accepted in Ital. J. Pure Appl. Math., 2021. [7] G. K. Banerjee, On pairwise almost strongly θ-continuous mappings, Bull. Calcutta Math. Soc., 79 (1987), 314-320. [8] S. Bose, D. Sinha, Almost open, almost closed, θ-continuous and almost compact mappings in bitopological spaces, Bull. Calcutta Math. Soc., 73 (1981), 345-354. [9] C. G. Kariofillis, On pairwise almost compactness, Ann. Soc. Sci. Bruxelles, 100 (1986), 129-137. [10] E. Ekici, S. Jafari, S.P. Moshokoa, On a weak form of ω-continuity, Annals Univ. Craiova, Math. Comp. Sci., 37 (2010), 38-46. [11] H.Z. Hdeib, ω-closed mappings, Revista Colombiana Mat., 16 (1982), 65-78. [12] H.Z. Hdeib, ω-continuous functions, Dirasat, 16 (1989), 136-142. [13] J. C. Kelly, Bitopological spaces, Proc. London Math. Soc., 13 (1963), 71-89. [14] F. H. Khedr, S. M. Al.Areefi, T. Noiri, Precontinuity and semi-precontinuity in bitopological spaces, Indian J. Pure Appl. Math., 23 (1992), 625-633. [15] V. Popa, T. Noiri, Some properties of weakly quasi-continuous functions in bitopological spaces, Mathematica (Cluj), 69 (2004), 105-112. [16] E. Rosas, C. Carpintero, N. Rajesh, S. Shanthi, Near w-continuous multifunctions on bitopological spaces, Proyecciones Journal of Mathematics, 38 (2019), 691-698. [17] A. R. Singal, S. P. Arya, On pairwise almost regular spaces, Glasnik Mat. Ser. III, 26 (1971), 335-343. |
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Atribución-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0) © Copyright 2022 Elsevier B.V., All rights reserved. |
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Carpintero, C.Rajalakshmi, R.Rajesh, N.ROSAS, ENNIS2022-08-02T19:05:35Z2022-08-02T19:05:35Z20221126-8042https://hdl.handle.net/11323/94242239-0227Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/In this paper, as a generalization of u-ω-continuous functions, we introduce the notion of weakly ω-continuous functions in bitopological spaces and obtain several characterizations and some of its properties.11 páginasapplication/pdfengForum Societa Editrice Universitaria Udinese srlItalyAtribución-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0)© Copyright 2022 Elsevier B.V., All rights reserved.https://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Weakly ω-continuous functions in bitopological spacesArtículo 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/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85https://www.scopus.com/record/display.uri?eid=2-s2.0-85130154648&origin=inward&txGid=33b6dbfa6ee0acc24c825733199dbcf7&featureToggles=FEATURE_NEW_DOC_DETAILS_EXPORT:1,FEATURE_EXPORT_REDESIGN:0Italian Journal of Pure and Applied Mathematics[1] S. Al Ghour, S. Issa, On u-ω-open and q-ω-open sets in bitopological spaces, Missouri J. Math. Sci., (24) (2012), 37-53.[2] A. Al-Omari, M. S. M. Noorani, Contra-ω-continuous and almost ωcontinuous functions, Int. J. Math. Math. Sci., 9 (2007), 169-179.[3] A. Al-Omari, T. Noiri, M. S. M. Noorani, Weak and strong forms of ωcontinuous functions, Int. J. Math. Math. Sci., 9 (2009), 1-13.[4] K. Al-Zoubi, B. Al-Nashef, The topology of ω-open subsets, Al-Manarah, 9 (2003), 169-179.[5] K. Al-Zoubi, On generalized ω-closed sets, Int. J. Math. Math. Sci., 13 (2005), 2011-2021.[6] C. Carpintero, N. Rajesh, E. Rosas, R. Rajalakshmi, Almost ω-continuous functions in bitopological spaces, accepted in Ital. J. Pure Appl. Math., 2021.[7] G. K. Banerjee, On pairwise almost strongly θ-continuous mappings, Bull. Calcutta Math. Soc., 79 (1987), 314-320.[8] S. Bose, D. Sinha, Almost open, almost closed, θ-continuous and almost compact mappings in bitopological spaces, Bull. Calcutta Math. Soc., 73 (1981), 345-354.[9] C. G. Kariofillis, On pairwise almost compactness, Ann. Soc. Sci. Bruxelles, 100 (1986), 129-137.[10] E. Ekici, S. Jafari, S.P. Moshokoa, On a weak form of ω-continuity, Annals Univ. Craiova, Math. Comp. Sci., 37 (2010), 38-46.[11] H.Z. Hdeib, ω-closed mappings, Revista Colombiana Mat., 16 (1982), 65-78.[12] H.Z. Hdeib, ω-continuous functions, Dirasat, 16 (1989), 136-142.[13] J. C. Kelly, Bitopological spaces, Proc. London Math. Soc., 13 (1963), 71-89.[14] F. H. Khedr, S. M. Al.Areefi, T. Noiri, Precontinuity and semi-precontinuity in bitopological spaces, Indian J. Pure Appl. Math., 23 (1992), 625-633.[15] V. Popa, T. Noiri, Some properties of weakly quasi-continuous functions in bitopological spaces, Mathematica (Cluj), 69 (2004), 105-112.[16] E. Rosas, C. Carpintero, N. Rajesh, S. Shanthi, Near w-continuous multifunctions on bitopological spaces, Proyecciones Journal of Mathematics, 38 (2019), 691-698.[17] A. R. Singal, S. P. Arya, On pairwise almost regular spaces, Glasnik Mat. Ser. 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