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On some forms of weakly continuous functions in bitopological spaces

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As a generalization of weakly continuous functions, we introduce the notion of (i, j)-weakly m-continuous functions in bitopological spaces and obtain unified characterizations and properties of certain forms of weakly continuous functions in bitopological spaces.
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685--700
Opis fizyczny
Bibliogr. 29 poz.
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Bibliografia
  • [1] G. K. Banerjee, On pairwise almost strongly θ-continuous mappings, Bull. CalcuttaMath. Soc. 79 (1987), 314-320.
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  • [3] S. Bose and D. Sinha, Almost open, almost closed, θ-continuous and almost compact mappings in bitopological spaces, Bull. Calcutta Math. Soc. 73 (1981), 345-354.
  • [4] S. Bose and D. Sinha, Pairwise almost continuous map and weakly continuous map in bitopological spaces, Bull. Calcutta Math. Soc. 74 (1982), 195-206.
  • [5] I. Dochviri, On some properties of semi-compact and S-closed sets in bitopological spaces, Proc. A. Razmadze Math. Inst. 123 (2000), 15-22.
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  • [7] M. Jelić, A decomposition of pairwise continuity, J. Inst. Math. Comput. Sci. Math. Ser. 3 (1990), 25-29.
  • [8] M. Jelić, Feebly p-continuous mappings, Suppl. Rend. Circ. Mat. Palermo (2) 24 (1990), 387-395.
  • [9] A. Kar and P. Bhattacharyya, Bitopological preopen sets, precontinuity and preopen mappings, Indian J. Math. 34 (1992), 295-309.
  • [10] C. G. Kariofillis, On pairwise almost compactness, Ann. Soc. Sci. Bruxelles 100 (1986), 129-137.
  • [11] J. C. Kelly, Bitopological spaces, Proc. London Math. Soc. (3) 13 (1963), 71-89.
  • [12] F. H. Khedr, Weakly semicontinuous mappings in bitopological spaces, Bull. Fac. Sci. Assiut Univ. 21 (1992), 1-10.
  • [13] F. H. Khedr, S. M. Al-Areefi and T. Noiri, Precontinuity and semi-precontinuity in bitopological spaces, Indian J. Pure Appl. Math. 23 (1992), 625-633.
  • [14] S. Sampath Kumar, 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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  • [16] S. N. Maheshwari and R. Prasad, Semi open sets and semi continuous functions in bitopological spaces, Math. Notae 26 (1977/78), 29-37.
  • [17] H. Maki, K. C. Rao and A. Nagor Gani, On generalizing semi-open and preopensets, Pure Appl. Math. Sci. 49 (1999), 17-29.
  • [18] A. A. Nasef and T. Noiri, Feebly open sets and feeble continuity in bitopological spaces, Anal. Univ. Timişoara Ser. Mat. Inform. 36 (1998), 79-88.
  • [19] T. Noiri and V. Popa, On weakly precontinuous functions in bitopological spaces, Soochow J. Math. 33 (2007), 87-100.
  • [20] N. Palaniappan and S. Pious Missier, δ-semi-open sets in bitopological spaces, J. Indian Acad. Math. 25 (2003), 193-207.
  • [21] N. Palaniappan and S. Pious Missier, δ-preopen sets in bitopological spaces, J. Indian Acad. Math. 25 (2003), 287-295.
  • [22] W. J. Pervin, Connectedness in bitopological spaces, Indag. Math. 29 (1967), 369-372.
  • [23] V. Popa and T. Noiri, Charactrizations of weakly quasicontinuous functions in bitopological spaces, Mathematica (Cluj) 39(62) (1997), 293-297.
  • [24] V. Popa and T. Noiri, On M-continuous functions, Anal. Univ. "Dunărea de Jos", Galatį, Ser. Mat. Fis. Mec. Teor. (2) 18 (23) (2000), 31-41.
  • [25] V. Popa and T. Noiri, On the definitions of some generalized forms of continuity under minimal conditions, Mem. Fac. Sci. Kochi Univ. Ser. A Math. 22 (2001), 9-18.
  • [26] V. Popa and T. Noiri, A unified theory of weak continuity for functions, Rend. Circ.Mat. Palermo (2) 51 (2002), 430-464.
  • [27] V. Popa and T. Noiri, On weakly m-continuous functions, Mathematica (Cluj) 45(68) (2003), 53-67.
  • [28] V. Popa and T. Noiri, Some properties of weakly quasicontinuous functions in bitopological spaces, Mathematica (Cluj) 46(69) (2004), 105-112.
  • [29] N. V. Veličko, H-closed topological spaces, Amer. Math. Soc. Transl. (2) 78 (1968), 103-118.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0049-0019
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