On weakly BR-open functions and their characterizations in topological spaces

• Autorzy: Caldas M. , Ekici E. , Jafari S. , Latif R. M.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce and study a new class of functions by using the notions of b-θ-open sets and b-θ-closure operator called weakly BR-open functions. The connections between this function and the other existing topological functions are studied.

Słowa kluczowe

EN

topological space; b-closed set; b-θ-open set; weakly BR-open function; b-open function

PL

przestrzeń topologiczna; zbiór b-zamknięty; zbiór b-θ-otwarty; funkcja b-otwarta

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 1
• Strony: 159--168
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Caldas M.

• Departamento de Matematica Aplicada, Universidade Federal Fluminense, Rua Mario Santos Braga, s/n, 24020-140, Niteroi, RJ Brasil

autor

Ekici E.

• Department of Mathematics, Canakkale Onsekiz Mart University, Terzioglu Campus, 17020 Canakkale, Turkey

autor

Jafari S.

• Department of Economics, Copenhagen University, Oester Farimagsgade 5, Building 26, 1353 Copenhagen K, Denmark

autor

Latif R. M.

• Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261 Saudi Arabia

Bibliografia

• [1] D. Andrijevic, On b-open sets, Mat. Vesnik 48 (1996), 59–64.
• [2] S. P. Arya, R. Gupta, Strongly continuous mappings, Kyungpook Math. J. 14 (1974), 131–143.
• [3] C. W. Baker, Contra-open functions and contra-closed functions, Math. Today 15 (1997), 19–24.
• [4] C. W. Baker, Decomposition of openness, Int. J. Math. Math. Sci. 17 (1994), 413–415.
• [5] E. Ekici, Generalization of weakly clopen and strongly θ-b-continuous functions,Chaos Solitons Fractals 38 (2008), 79–88.
• [6] E. Ekici, On separated sets and connected spaces, Demonstratio Math. 40 (2007), 209–217.
• [7] N. Levine, Strong continuity in topological spaces, Amer. Math. Monthly 67 (1960), 269.
• [8] A. Mashhour, M. Abd El-Monsef, S. El-Deeb, On pre-continuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt 53 (1982), 47–53.
• [9] O. Njastad, On some classes of nearly open sets, Pacific J. Math. 15 (1965), 961–970.
• [10] T. Noiri, A generalization of closed mappings, Atti. Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei 8 (1973), 210–214.
• [11] J. H. Park, Strongly θ-b-continuous functions, Acta Math. Hung. 110 (4) (2006), 347–359.
• [12] D. A. Rose, On weak openness and almost openness, Int. J. Math. Math. Sci. 7 (1984), 35–40.
• [13] D. A. Rose, D. S. Jankovic, Weakly closed functions and Hausdorff spaces, Math. Nachr. 130 (1987), 105–110.
• [14] N. V. Velicko, H-closed topological spaces, Amer. Math. Soc. Transl. 78 (1968), 103–118.