Proyecciones Journal of Mathematics
Vol. 30, N° 1, pp. 29-41, May 2011.
Universidad Católica del Norte
Antofagasta - Chile


On strongly faint e-continuous functions


Miguel Caldas¹
Saeid Jafari²

¹Universidade Federal Fluminense, Brasil
²College of Vestsjaelland South, Denmark


Correspondencia a:

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Abstract

A new class of functions, called strongly faint e-continuous function, has been defined and studied. Relationships among strongly faint e-continuous functions and econnected spaces, e-normal spaces and e-compact spaces are investigated. Furthermore, the relationships between strongly faint e-continuous functions and graphs are also investigated.

2000 Mathematics Subject Classification :54B05, 54C08, 54D10.

Key words and phrases : Topological spaces, e-open sets, strong θ-continuity, strongly faint e-continuity.

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References

[1] M. E. Abd El-Monsef, S. N. Ei-Deeb and R. A. Mahmoud, β-open sets and β-continuous mappings, Bull. Fac. Assiut Univ. 12, pp. 77-90, (1983).         [ Links ]

[2] M. Caldas, On fantly e-continuous functions. Submitted.         [ Links ]

[3] M. Caldas, S. Jafari and T. Noiri, Some separation axioms via modified θ-open, Bull. of the Iranian Math. Soc., 29(2), pp. 1-12, (2003).         [ Links ]

[4] E. Ekici, On e-open sets, DP *-sets and DP C*-sets and decompositions of continuity. The Arabian J. for Sci. and Eng., 33 (2A), pp. 269-282,(2008).         [ Links ]

[5] E. Ekici, On a-open sets, A*-sets and Decompositions of continuity and super continuity, Annales Univ. Sci. Budapest, 51, pp. 39-51, (2008).         [ Links ]

[6] E. Ekici, New forms of contra continuity, Carpathian J. Math., 24 (1), pp. 37-45, (2008).         [ Links ]

[7] E. Ekici, On e*-open sets and (D, S)*-sets, Math. Moravica, Vol. 13(1), pp. 29-36, (2009).         [ Links ]

[8] E. Ekici, Some generalizations of almost contra-super-continuity, Filomat, 21 (2), pp. 31-44, (2007).         [ Links ]

[9] E. Ekici, A note on a-open sets and e*-sets, Filomat, 21 (1), pp. 89-96,(2008).         [ Links ]

[10] A.A. El-Atik, Study of some types of mappings on topological spaces, Bull.Masters. Thesis, Faculty of Science, Tanta University, Egypt,(1997).         [ Links ]

[11] S. Jafari, Some properties of quasi θ-continuous functions, Far East J. Math. Soc., 6, pp. 689-696, (1998).         [ Links ]

[12] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 68, pp. 44-46, (1961).         [ Links ]

[13] N. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19, pp. 89-96, (1970).         [ Links ]

[14] P. E. Long and L. L. Herrington, The T_θ-topology and faintly continuous functions, Kyungpook Math. J., 22, pp. 7-14, (1982).         [ Links ]

[15] A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deeb, On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53, pp. 47-53, (1982).         [ Links ]

[16] A. A. Nasef , Recent progress in the theory of faint continuity, Mathematical and Computer Modelling, 49, pp. 536-541, (2009).         [ Links ]

[17] A. A. Nasef , strongly β-irresolute functions, J. Natur. Sci. Math., 36, pp. 199-206, (1996).         [ Links ]

[18] A. A. Nasef and T. Noiri, Strong forms of faint continuity, Mem. Fac. Sci. Kochi Univ. Ser. A. Math, 19, pp. 21-28, (1998).         [ Links ]

[19] O. Njåstad, On some classes of nearly open sets, Pacific J. Math., 15, pp. 961-970, (1965).         [ Links ]

[20] T. Noiri, On δ-continuous functions, J. Korean Math. Soc., 16, pp. 161-166, (1980).         [ Links ]

[21] S. Raychaudhuri and M. N. Mukherjee, On δ-almost continuity and δ-preopen sets, Bull. Inst. Math. Acad. Sinica 21, pp. 357-366, (1993).         [ Links ]

[22] S. Sinharoy and S. Bandyopadhyay, On θ-completely regular and locally θ-H-closed spaces, Bull. Cal. Math. Soc., 87, pp. 19-28, (1995).         [ Links ]

[23] N. V. Velicko, H-closed topological spaces, Mat. Sb., 70 (1966), 98-112; English transl., in Amer. Math. Soc. Transl., 78, pp. 103-118,(1968).         [ Links ]

M. Caldas
Departamento de Matemática Aplicada
Universidade Federal Fluminense
Rua Mário Santos Braga, s/n
24020-140, Niterói, RJ Brazil
e-mail : gmamccs@vm.uff.br


Saeid Jafari
College of Vestsjaelland South
Herrestraede 11
4200 Slagelse
Denmark
e-mail : jafari@stofanet.dk

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Received : June 2010. Accepted : March 2011