Upper and lower nearly (i, j)-continuous multifunctions

In this paper the authors introduce and study upper and lower nearly (I,J)-continuous multifunctions. Some characterizations and several properties concerning upper (lower) nearly (I,J)-continuous multifunctions are obtained. The results improves many results in Literature.

Autores:
ROSAS, E.
CARPINTERO, C.
MORENO, J.
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:11323/5126
Acceso en línea:
https://hdl.handle.net/11323/5126
https://repositorio.cuc.edu.co/
Palabra clave:
nearly (I,J)-continuous multifunctions
I-open set
I-closed set
lower nearly (I,J)-continuous multifunctions
upper almost nearly (I,J)-continuous multifunctions
Rights
openAccess
License
CC0 1.0 Universal
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repository_id_str
dc.title.spa.fl_str_mv Upper and lower nearly (i, j)-continuous multifunctions
title Upper and lower nearly (i, j)-continuous multifunctions
spellingShingle Upper and lower nearly (i, j)-continuous multifunctions
nearly (I,J)-continuous multifunctions
I-open set
I-closed set
lower nearly (I,J)-continuous multifunctions
upper almost nearly (I,J)-continuous multifunctions
title_short Upper and lower nearly (i, j)-continuous multifunctions
title_full Upper and lower nearly (i, j)-continuous multifunctions
title_fullStr Upper and lower nearly (i, j)-continuous multifunctions
title_full_unstemmed Upper and lower nearly (i, j)-continuous multifunctions
title_sort Upper and lower nearly (i, j)-continuous multifunctions
dc.creator.fl_str_mv ROSAS, E.
CARPINTERO, C.
MORENO, J.
dc.contributor.author.spa.fl_str_mv ROSAS, E.
CARPINTERO, C.
MORENO, J.
dc.subject.spa.fl_str_mv nearly (I,J)-continuous multifunctions
I-open set
I-closed set
lower nearly (I,J)-continuous multifunctions
upper almost nearly (I,J)-continuous multifunctions
topic nearly (I,J)-continuous multifunctions
I-open set
I-closed set
lower nearly (I,J)-continuous multifunctions
upper almost nearly (I,J)-continuous multifunctions
description In this paper the authors introduce and study upper and lower nearly (I,J)-continuous multifunctions. Some characterizations and several properties concerning upper (lower) nearly (I,J)-continuous multifunctions are obtained. The results improves many results in Literature.
publishDate 2019
dc.date.accessioned.none.fl_str_mv 2019-07-31T14:51:30Z
dc.date.available.none.fl_str_mv 2019-07-31T14:51:30Z
dc.date.issued.none.fl_str_mv 2019-03-15
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.issn.spa.fl_str_mv 1126-8042
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dc.identifier.instname.spa.fl_str_mv Corporación Universidad de la Costa
dc.identifier.reponame.spa.fl_str_mv REDICUC - Repositorio CUC
dc.identifier.repourl.spa.fl_str_mv https://repositorio.cuc.edu.co/
identifier_str_mv 1126-8042
Corporación Universidad de la Costa
REDICUC - Repositorio CUC
url https://hdl.handle.net/11323/5126
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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 Icontinuous functions, Kyungpook Math. J., 32 (1992), 21-30. [2] M. Akdag, On upper and lower I-continuous multifunctions, Far East J. Math. Sci., 25 (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, Nearly J -continuous multifunctions, Bol. Soc. Paran. Mat., 37 (2019), 33-38. [6] D. Carnahan, Locally nearly compact spaces, Boll. Un. mat. Ital., 6 (1972), 143-153. [7] C. Carpintero, E. Rosas and J. Moreno, More on upper and lower almost nearly I-continuous multifunctions, Int. J. Pure and Appl. Math., 117 (2017), 521-537. [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 (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, El-Deep on precontinuous and weak precontinuous mappings, Proced. Phys. Soc. Egyp, 53 (1982), 47-53. [14] R. E. Simithson, Almost and weak continuity for multifunctions, Bull. Calcutta Math. Soc., 70 (1978), 383-390. [15] M. Stone, Applications of the theory of boolean rings to general topology, Trans. Amer. Math. Soc., 41 (1937), 374-381. [16] R. Vaidyanathaswamy, The localisation theory in set topology, Proc. Indian Acad. Sci., 20 (1945), 51-61. [17] I. Zorlutuna, I-continuous multifunctions, Filomat, 27 (2013), 155-16
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dc.publisher.spa.fl_str_mv Italian journal of pure and applied mathematics
institution Corporación Universidad de la Costa
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spelling ROSAS, E.CARPINTERO, C.MORENO, J.2019-07-31T14:51:30Z2019-07-31T14:51:30Z2019-03-151126-8042https://hdl.handle.net/11323/5126Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/In this paper the authors introduce and study upper and lower nearly (I,J)-continuous multifunctions. Some characterizations and several properties concerning upper (lower) nearly (I,J)-continuous multifunctions are obtained. The results improves many results in Literature.ROSAS, E.CARPINTERO, C.MORENO, J.engItalian journal of pure and applied mathematicsCC0 1.0 Universalhttp://creativecommons.org/publicdomain/zero/1.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2nearly (I,J)-continuous multifunctionsI-open setI-closed setlower nearly (I,J)-continuous multifunctionsupper almost nearly (I,J)-continuous multifunctionsUpper and lower nearly (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 Icontinuous functions, Kyungpook Math. J., 32 (1992), 21-30. [2] M. Akdag, On upper and lower I-continuous multifunctions, Far East J. Math. Sci., 25 (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, Nearly J -continuous multifunctions, Bol. Soc. Paran. Mat., 37 (2019), 33-38. [6] D. Carnahan, Locally nearly compact spaces, Boll. Un. mat. Ital., 6 (1972), 143-153. [7] C. Carpintero, E. Rosas and J. Moreno, More on upper and lower almost nearly I-continuous multifunctions, Int. J. Pure and Appl. Math., 117 (2017), 521-537. [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 (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, El-Deep on precontinuous and weak precontinuous mappings, Proced. Phys. Soc. Egyp, 53 (1982), 47-53. [14] R. E. Simithson, Almost and weak continuity for multifunctions, Bull. Calcutta Math. Soc., 70 (1978), 383-390. [15] M. Stone, Applications of the theory of boolean rings to general topology, Trans. Amer. Math. Soc., 41 (1937), 374-381. [16] R. Vaidyanathaswamy, The localisation theory in set topology, Proc. Indian Acad. Sci., 20 (1945), 51-61. [17] I. Zorlutuna, I-continuous multifunctions, Filomat, 27 (2013), 155-16PublicationORIGINALUpper and lower nearly (i, j)-continuous multifunctions.pdfUpper and lower nearly (i, j)-continuous multifunctions.pdfapplication/pdf104194https://repositorio.cuc.edu.co/bitstreams/b9374727-9723-43f4-b2fe-a48b7e46796f/downloade684a637a176b385528eb8d3c0b78ef5MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8701https://repositorio.cuc.edu.co/bitstreams/75095fcb-787a-4959-a490-4b85c88da0ef/download42fd4ad1e89814f5e4a476b409eb708cMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.cuc.edu.co/bitstreams/3b137e4f-a074-486c-9a68-54d7a79f9dad/download8a4605be74aa9ea9d79846c1fba20a33MD53THUMBNAILUpper and lower nearly (i, j)-continuous multifunctions.pdf.jpgUpper and lower nearly (i, j)-continuous multifunctions.pdf.jpgimage/jpeg1750https://repositorio.cuc.edu.co/bitstreams/5f38f893-6790-4031-8cce-19e5baf29207/download37c7f84abb4ca37461928a97d063ec9dMD54Upper and lower nearly (i, j)-continuous multifunctions.pdf.jpgUpper and lower nearly (i, j)-continuous multifunctions.pdf.jpgimage/jpeg26855https://repositorio.cuc.edu.co/bitstreams/11197c13-7245-469d-9949-55e8151f2f14/download650fa7e92e6335c9a1f8d4ba188dfb78MD55THUMBNAILTEXTUpper and lower nearly (i, j)-continuous multifunctions.pdf.txtUpper and lower nearly (i, j)-continuous multifunctions.pdf.txttext/plain22211https://repositorio.cuc.edu.co/bitstreams/e8f941fd-4f65-4a88-9b18-2a37a8547291/download36385f1b929ca6a792eb4736fc294675MD5611323/5126oai:repositorio.cuc.edu.co:11323/51262024-09-17 10:57:14.66http://creativecommons.org/publicdomain/zero/1.0/CC0 1.0 Universalopen.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa CUCrepdigital@cuc.edu.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