Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions
The purpose of the present paper is to introduce, study and characterize upper and lower weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions. Also, we investigate its relation with another class of continuous multifunctions. AMS Subject Classification: 54C10, 54C08, 5...
- Autores:
-
Rosas Rodriguez, Ennis Rafael
C., Carpintero
J., Sanabria
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2019
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/2953
- Acceso en línea:
- https://hdl.handle.net/11323/2953
https://repositorio.cuc.edu.co/
- Palabra clave:
- weakly (I, J)-continuous multifunctions
I-open set
I-closed set
contra (I, J)-continuous multifunctions
(I, J)-continuous multifunctions
- Rights
- openAccess
- License
- Atribución – No comercial – Compartir igual
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| dc.title.spa.fl_str_mv |
Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions |
| title |
Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions |
| spellingShingle |
Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions weakly (I, J)-continuous multifunctions I-open set I-closed set contra (I, J)-continuous multifunctions (I, J)-continuous multifunctions |
| title_short |
Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions |
| title_full |
Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions |
| title_fullStr |
Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions |
| title_full_unstemmed |
Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions |
| title_sort |
Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions |
| dc.creator.fl_str_mv |
Rosas Rodriguez, Ennis Rafael C., Carpintero J., Sanabria |
| dc.contributor.author.spa.fl_str_mv |
Rosas Rodriguez, Ennis Rafael C., Carpintero J., Sanabria |
| dc.subject.spa.fl_str_mv |
weakly (I, J)-continuous multifunctions I-open set I-closed set contra (I, J)-continuous multifunctions (I, J)-continuous multifunctions |
| topic |
weakly (I, J)-continuous multifunctions I-open set I-closed set contra (I, J)-continuous multifunctions (I, J)-continuous multifunctions |
| description |
The purpose of the present paper is to introduce, study and characterize upper and lower weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions. Also, we investigate its relation with another class of continuous multifunctions. AMS Subject Classification: 54C10, 54C08, 54C05, 54C60 |
| publishDate |
2019 |
| dc.date.accessioned.none.fl_str_mv |
2019-03-14T14:41:38Z |
| dc.date.available.none.fl_str_mv |
2019-03-14T14:41:38Z |
| dc.date.issued.none.fl_str_mv |
2019-08-24 |
| dc.type.spa.fl_str_mv |
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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info:eu-repo/semantics/article |
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http://purl.org/redcol/resource_type/ART |
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info:eu-repo/semantics/acceptedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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acceptedVersion |
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1126-8042 |
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https://hdl.handle.net/11323/2953 |
| dc.identifier.instname.spa.fl_str_mv |
Corporación Universidad de la Costa |
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REDICUC - Repositorio CUC |
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https://repositorio.cuc.edu.co/ |
| identifier_str_mv |
1126-8042 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
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https://hdl.handle.net/11323/2953 https://repositorio.cuc.edu.co/ |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.references.spa.fl_str_mv |
[1] M. E. Abd El-Monsef, E. F. Lashien, A. A. Nasef, On I-open sets and I-continuous functions, Kyungpook Math. J., 32(1) (1992), 21-30. [2] M. Akdag, On upper and lower I-continuous multifunctions, Far East J. Math. Sci., 25(1) (2007), 49-57. [3] A. Al-Omari and M. S. M. Noorani, Contra-I-continuous and almost Icontinuous functions, Int. J. Math. Math. Sci. (9) (2007), 169-179. [4] D. Andrijevic, Semi-preopen sets, Mat. Vesnik, 38(1986), 24-32. [5] C. Arivazhagi and N. Rajesh, On Upper and lower weakly I-continuous multifunctions, Ital. J. Pure and Appl. Math., 36 (2016), 899-912. [6] C. Arivazhagi and N. Rajesh, On upper and lower contra I-continuous multifunctions (submitted). [7] D. Carnahan, Locally nearly compact spaces, Boll. Unione. Mat. Ital., 4 (6) (1972), 143-153. [8] E. Ekici, Nearly continuous multifunctions, Acta Math. Univ. Comenianae, 72 (2003), 229-235. [9] E. Ekici, Almost nearly continuous multifunctions, Acta Math. Univ. Comenianae, 73 (2004), 175-186. [10] D. S. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Montly, 97 (4) (1990), 295-310. [11] N. Levine, Semi open sets and semi-continuity in topological spaces, Amer. Math. Montly, 70 (1963), 36-41. [12] K. Kuratowski, Topology, Academic Press, New York, 1966. [13] A.S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deep on precontinuous and weak precontinuous mappings, Proced. Phys. Soc. Egyp, 53 (1982), 47-53. [14] E. Rosas, C. Carpintero and J. Moreno, Upper and lower (I, J) continuous multifunctions, Int. J. Pure and Appl. Math., 117 (1) (2017), 87-97. [15] R. E. Simithson, Almost and weak continuity for multifunctions, Bull. Calcutta Math. Soc., 70 (1978), 383-390. [16] M. Stone, Applications of the theory of boolean rings to general topology, Trans. Amer. Math. Soc., 41 (1937), 374-381. [17] R. Vaidyanathaswamy, The localisation theory in set topology, Proc. Indian Acad. Sci., 20 (1945), 51-61. [18] I. Zorlutuna, I-continuous multifunctions, Filomat, 27 (1) (2013), 155-162. |
| dc.rights.spa.fl_str_mv |
Atribución – No comercial – Compartir igual |
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info:eu-repo/semantics/openAccess |
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Atribución – No comercial – Compartir igual http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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Italian Journal of Pure and Applied Mathematics |
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Corporación Universidad de la Costa |
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Rosas Rodriguez, Ennis RafaelC., CarpinteroJ., Sanabria2019-03-14T14:41:38Z2019-03-14T14:41:38Z2019-08-241126-8042https://hdl.handle.net/11323/2953Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/The purpose of the present paper is to introduce, study and characterize upper and lower weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions. Also, we investigate its relation with another class of continuous multifunctions. AMS Subject Classification: 54C10, 54C08, 54C05, 54C60Rosas Rodriguez, Ennis Rafael-0000-0001-8123-9344-600C., Carpintero-e9ba5bf1-a126-4564-8243-f85ef036f915-0J., Sanabria-9e5250c3-014c-4039-b055-39a2c5115e17-0engItalian Journal of Pure and Applied MathematicsAtribución – No comercial – Compartir igualinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2weakly (I, J)-continuous multifunctionsI-open setI-closed setcontra (I, J)-continuous multifunctions(I, J)-continuous multifunctionsWeakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctionsArtículo 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] M. E. Abd El-Monsef, E. F. Lashien, A. A. Nasef, On I-open sets and I-continuous functions, Kyungpook Math. J., 32(1) (1992), 21-30. [2] M. Akdag, On upper and lower I-continuous multifunctions, Far East J. Math. Sci., 25(1) (2007), 49-57. [3] A. Al-Omari and M. S. M. Noorani, Contra-I-continuous and almost Icontinuous functions, Int. J. Math. Math. Sci. (9) (2007), 169-179. [4] D. Andrijevic, Semi-preopen sets, Mat. Vesnik, 38(1986), 24-32. [5] C. Arivazhagi and N. Rajesh, On Upper and lower weakly I-continuous multifunctions, Ital. J. Pure and Appl. Math., 36 (2016), 899-912. [6] C. Arivazhagi and N. Rajesh, On upper and lower contra I-continuous multifunctions (submitted). [7] D. Carnahan, Locally nearly compact spaces, Boll. Unione. Mat. Ital., 4 (6) (1972), 143-153. [8] E. Ekici, Nearly continuous multifunctions, Acta Math. Univ. Comenianae, 72 (2003), 229-235. [9] E. Ekici, Almost nearly continuous multifunctions, Acta Math. Univ. Comenianae, 73 (2004), 175-186. [10] D. S. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Montly, 97 (4) (1990), 295-310. [11] N. Levine, Semi open sets and semi-continuity in topological spaces, Amer. Math. Montly, 70 (1963), 36-41. [12] K. Kuratowski, Topology, Academic Press, New York, 1966. [13] A.S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deep on precontinuous and weak precontinuous mappings, Proced. Phys. Soc. Egyp, 53 (1982), 47-53. [14] E. Rosas, C. Carpintero and J. Moreno, Upper and lower (I, J) continuous multifunctions, Int. J. Pure and Appl. Math., 117 (1) (2017), 87-97. [15] R. E. Simithson, Almost and weak continuity for multifunctions, Bull. Calcutta Math. Soc., 70 (1978), 383-390. [16] M. Stone, Applications of the theory of boolean rings to general topology, Trans. Amer. Math. Soc., 41 (1937), 374-381. [17] R. Vaidyanathaswamy, The localisation theory in set topology, Proc. Indian Acad. Sci., 20 (1945), 51-61. [18] I. Zorlutuna, I-continuous multifunctions, Filomat, 27 (1) (2013), 155-162.PublicationORIGINALWeakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions.pdfWeakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions.pdfapplication/pdf214734https://repositorio.cuc.edu.co/bitstreams/268973c0-70cd-4606-a809-eef89ff9973d/download02e9713cfa2e75011fa2b666df232072MD51Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions 2.pdfWeakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions 2.pdfapplication/pdf148429https://repositorio.cuc.edu.co/bitstreams/26de1e0e-d584-4def-acb6-aef9073e25bf/download01ba5c2cbe953aaab752a1a657e2b7c3MD53LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.cuc.edu.co/bitstreams/730e5445-8df3-430b-9984-f556a5f63332/download8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILWeakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions.pdf.jpgWeakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions.pdf.jpgimage/jpeg31946https://repositorio.cuc.edu.co/bitstreams/8ea0e15f-e347-45c0-8f67-10109f183adc/download1ee31698fe60474febb134b8613b3f46MD56Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions 2.pdf.jpgWeakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions 2.pdf.jpgimage/jpeg35888https://repositorio.cuc.edu.co/bitstreams/9841cce0-7196-4883-a775-f8dfd7907a3c/downloadcca1c0d5d94f396c7356113618648ba3MD57TEXTWeakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions.pdf.txtWeakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions.pdf.txttext/plain21273https://repositorio.cuc.edu.co/bitstreams/ad0d3e58-4d7e-4d5a-bab8-458199124080/downloaddfa3786584cba3fbcbc60e8c5f11faf5MD58Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions 2.pdf.txtWeakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions 2.pdf.txttext/plain21729https://repositorio.cuc.edu.co/bitstreams/f29de969-22df-4d8a-b1af-a29a7769e477/downloadcd7ca9ae39fe7cde4d76aae9ee053bffMD5911323/2953oai:repositorio.cuc.edu.co:11323/29532024-09-17 10:58:54.719open.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa CUCrepdigital@cuc.edu.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 |