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Minimal structures, m-open multifunctions in the sense of Kuratowski and bitopological spaces

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Języki publikacji
EN
Abstrakty
EN
By using m-open multifunctions from a topological space into an m-space, we establish the unified theory for several weak forms of open multifunctions in the sense of Kuratowski between bitopological spaces.
Rocznik
Tom
Strony
107--117
Opis fizyczny
Bibliogr. 33 poz.
Twórcy
autor
autor
  • 2949-1 Shiokita-Cho, Hinagu Yatsushiro-Shi, Kumamoto-Ken, 869-5142, Japan
Bibliografia
  • [1] Abd El-Monsef M.E., El-Deeb S.N., Mahmoud R.A., ß-open sets and ß-continuous mappings, Bull. Fac. Sci. Assiut Univ., 12(1983), 77-90.
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  • [5] Bose S., Semi-open sets, semi-continuity and semi-open mappings in bitopological spaces, Bull. Calcutta Math. Soc., 73(1981), 237-246.
  • [6] Cao J., Reilly I.L., α-continuous and α-irresolute multifunctions, Math. Bohemica, 121(1996), 415-424.
  • [7] Cao J., Reilly I.L., On pairwise almost continuous multifunctions and closed graph, Indian J. Math:, 38(1996), 1-17.
  • [8] Crossley S.G., Hildeband S.K., Semi-closure, Texas J. Sci., 22(1971), 99-112.
  • [9] El-Deeb N., Hasanein I.A., Mashhour A.S., Noiri T., On p-regular spaces, Bull. Math. Soc. Sci. Math. R. S. Roumanie, 27(75)(1983), 311-315.
  • 10] El-Attik A.A., A Study of Type of Mappings in Topological Spaces, M. Sci. Thesis, Tanta Univ. Egypt, 1997.
  • [11] Jelić M., A decomposition of pairwise continuity, J. Inst. Math. Comput. Sci. Math. Ser., 3(1990), 25-29.
  • [12] Jelić M., Feebly p-continuous mappings, Suppl. Rend. Circ. Mat. Palermo (2), 24(1990), 387-395.
  • [13] Jelić M., On some mappings of bitopological spaces, Suppl. Rend. Circ. Mat. Palermo (2), 29(1992), 483-491.
  • [14] Kar A., Bhattacharyya P., Bitopological preopen sets, precontinuity and preopen mappings, Indian J. Math., 34(1992), 295-309.
  • [15] Khedr F.H., Al-Areefi S.M., Noiri T., Precontinuity and semi-precontinuity in bitopological spaces, Indian J. Pure Appl. Math., 23(1992), 625-633.
  • [16] Sampath Kumar S., Pairwise α-open, α-closed and α-irresolute functions in bitopological spaces, Bull. Inst. Math. Acad. Sinica, 21(1993), 59-72.
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  • [19] Lipski T., Quasicontinuous multivalued maps in bitopological spaces, Slupskie Prace Mat. Przyrodnicze Slupsk, 7(1988), 3-31.
  • [20] Maheshwari S.N., Prasad R., Semi open sets and semi continuous functions in bitopological spaces, Math. Notae, 26(1977/78), 29-37.
  • [21] Maki H., Rao K.C., Nagoor Gani A., On generalizing semi-open and preopen sets, Pure Appl. Math. Sci., 49(1999), 17-29.
  • [22] Mashhour A.S., Abd El-Monsef M.E., El-Deep S.N., On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt., 53(1982), 47-53.
  • [23] Mashhour A.S., Hasanein I.A., El-Deeb S.N., α-continuous and α-open mappings, Acta Math. Hungar., 41(1983), 213-218.
  • [24] Nasef A. A., Noiri T., Feebly open sets and feeble continuity in bitopological spaces, An. Univ. Timi§oara Ser. Mat-Inform., 36(1998), 79-88.
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  • [27] Palaniappan N., Pious Missier S., δ-semi-open sets in bitopological spaces, J. Indian Acad. Math., 25(2003), 193-207.
  • [28] Palaniappan N., Pious Missier S., δ-preopen sets in bitopological spaces, J. Indian Acad. Math., 25(2003), 287-295.
  • [29] Popa V., Kucuk Y., Noiri T., On upper and lower preirresolute multifunction, Pure Appl. Math. Sci., 44(1997), 5-16.
  • [30] Popa V., Noiri TV, On M-continuous functions, Anal. Univ. "Dunarea de Jos" Galaţi, Ser. Mat. Fiz. Mec. Teor. (2), 18(23)(2000), 31-41.
  • [31] Popa V., Noiri T., On the definitions of some generalized forms of continuity under minimal conditions, Mem. Fac. Sci. Kochi Univ. Ser. A Math., 22(2001), 9-18.
  • [32] Popa V., Noiri T., A unified theory of weak continuity for functions, Rend. Circ. Mat Palermo (2), 51(2002), 439-464.
  • [33] Veličko N.V., H-closed topological spaces, Amer. Math. Soc. Transl. (2), 78(1968), 103-118.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP2-0014-0045
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