More on weak δs-continuity in topological spaces

• Autorzy: Jafari S. , Noiri T.

Identyfikatory

DOI

10.1515/fascmath-2016-0006

• Języki publikacji: EN

Abstrakty

EN

The notion of weakly δs-continuous functions is introduced by Ekici in [6]. In this paper, we further investigate some more properties of weakly δs-continuous functions. This type of continuity is a generalization of super continuity [16].

Słowa kluczowe

EN

continuous function; δ-semiopen; δ-semi-continuous; rarely δs-continuous; super-continuous

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2016
• Tom: Nr 56
• Strony: 99--109
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Jafari S.

• College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark

autor

Noiri T.

• 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 Japan

Bibliografia

• [1] Caldas M., Georgiou D.N., Jafari S., Noiri T., More on δ-semiopen sets, Note Mat., 22(2003/2004), 113-126.
• [2] Caldas M, Ganster M., Georgiou D.N., Jafari S., Moshokoa S.P., δ-semiopen sets in topology, Topology Proceedings, 29(2) (2005), 369-383.
• [3] Caldas M., Jafari S., Moshokoa S.P., Noiri T., On rarely δs-continuous functions, Note Mat., 28(2) (2010), 107-115.
• [4] Caldas M., Jafari S., Noiri T., On functions with strongly δ-semiclosed graphs, Note Mat., 27(1) (2007), 103-110.
• [5] Cammaroto F., Noiri T., On weakly θ-continuous functions, Mat. Vesnik, 38(1986), 33-44.
• [6] Ekici E., δ-semiopen sets and a generalization of functions, Bol. Soc. Paran. Mat. 3s., 23(2005), 73-84.
• [7] Jafari S., A note on rarely continuous functions, Univ. Bacâu. Stud. Cerc. St. Ser. Mat., 5(1995), 29-34.
• [8] Jafari S., On some properties of rarely continuous functions, Univ. Bacâu. Stud. Cerc. St. Ser. Mat., 7(1997), 65-73.
• [9] Kar A., Bhattacharya P., Weakly semi-continuous functions, J. Indian Acad. Math., 8(1986), 83-93.
• [10] Lee B.Y., Son M.J., Park J.H., δ-semi-open sets and its applications, Far East J. Math. Sci., (FJMS) 3(2001), 745-759.
• [11] Levine N., A decomposition of continuity in topological spaces, Amer. Math. Monthly, 60(1961), 44-46.
• [12] Levine N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
• [13] Long P.E., Herrington L.L., Properties of rarely continuous functions, Glasnik Mat., 17(37) (1982), 229-236.
• [14] Maheshwari S., Prasad R., Some new separation axioms, Ann. Soc. Sci. Bruxelles, 89(1975), 395-402.
• [15] Mashhour A.S., Abd El-Monsef M.E., El-Deeb S.N., On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982), 47-53.
• [16] Munshi B.M., Bassan D.S., Super-continuous mappings, Indian. J. Pure. Appl. Math., 13(1982), 147-153.
• [17] Mršević M., Reilly I.L., Vamanamurthy M.K., On semi-regularization properties, J. Austral. Math. Soc., (Series A) 38(1985), 40-54.
• [18] Noiri T., Remarks on δ-semi-open sets and δ-preopen sets, Demonstratio Math., 36(2003), 1007-1020.
• [19] Park J.H., Lee B.Y., Son M.J., On δ-semiopen sets in topological space, J. Indian Acad. Math., 19(1997), 59-67.
• [20] Popa V., Sur certain decomposition de la continuité dans les espaces topologiques, Glasnik Mat. Ser. III., 14(34) (1979), 359-362.
• [21] Popa V., Noiri T., Some properties of rarely quasi continuous functions, An. Univ. Timisoara Ser. Stiint Mat., 29(1991), 65-71.
• [22] Popa V., Stan C., On a decomposition of quasi-continuity in topological spaces, Stud. Cerc. Mat., 25(1973), 41-43.
• [23] Singal M.K., Singal A.R., Almost continuous mappings, Yokohama Math. J., 16(1968), 63-73.
• [24] Velićko N.V., H-closed topological spaces, Amer. Math. Soc. Transl. (2), 78(1968), 103-118.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.