On strongly faintly M-θ-i-continuous functions in Bi-Supra Topological Space
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In this paper we introduces a new definition , called i- open and via this definition we introduce class of topological concepts(µ-θ-i-open set, µ-θ-i-closed, strong faintly µ-θ-continuity, strong µ-θ-continuity )and we generalized these concepts in bi -supra topological space .At last many important theorems in strongly faintly M-θ-i-continuous functions are investigated. And study the relationships among these functions and other forms are discussed.
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[1] A.A. Nase, T. Noiri, Strong forms of faint continuity, Mem. Fac. Sci. Kochi Univ. Ser. A. Math, 19, 21-28, (1998)
[2] A.A. Nase , Recent progress in the theory of faint continuity, Mathematical and Computer Modelling, 49, 536-541 , (2009),
[3] Firas N. AL-Zandi , A new type of bi-supra topological spaces , Thesis in, A.D , 2014
[4] M.H. Stone, Application of the theory of Boolean rings to general topology, Tams. , 41, 375 – 381, (1937)
[5] P.E. Long, L.L. Herrington, The τθ-topology and faintly continuous functions, Kyungpook Math. J. 22, 7–14, (1982)
[6] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 68 ,44-46, (1961)
[7] O. Njåstad, On some classes of nearly open sets, Pacfic J. Math. 15, 961–970, (1965)
[8] 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, 47–53, (1982)
[9] M. E. Abd El-Monsef, El-Deeb S. N. and R. A. Mahmoud, β-Open sets and β-continuous mappings, Bul l. Fac. Sci. Assiut Univ., 12, 77–90 , (1983)
[10] A.A. El-Atik, A study on some types of mappings on topological spaces, M. Sc. Thesis Tanta Univ., Egypt (1997).
[11] A.I. EL-Maghrabi and M.A. AL-Juhani, M-open sets in topological spaces, Pioneer J. Math. Sciences, 4, no. 2, 213-230 , (201 1 )
[12] B. Roy and T. Noiri, Unification on strongly θ-continuous functions, Analele Universit˘at¸ ii de Vest, Timi¸ soara, Seria Matematic˘a – Informatic˘a LI, 2, 115– 123, (2013)
[13] E. Ekici, On e-open sets, DP*-sets and DPE*-sets and decompositions of continuity , Arabian J. Sci. Eng., 33, no. 2A, 269 – 282, (2008)
[14] A.I. EL-Maghrabi and M.A. AL-Juhani, Further properties on M-continuity, Proc. Math. Soc. Egypt, 22, 63- 69, (2014)
[15] A.I.EL-Maghrabi and M.A.AL-Juhani , New weak forms of faint continuity, IJISET - International Journal of Innovative Science, Engineering & Technology, Vol. 1 Issue 4, 6 ,285 – 295 , (2014)
[16] A.I. EL-Maghrabi and M.A. AL-Juhani, New types of functions by M-open sets, Taibah Univ. J. Sci., 7, 137-145 , (2013)
[17] M. Caldas, A strong form of strong θ –continuity, General Mathematics Vol. 20, No. 4 ,27–42 , (2012).
[18] A.A. Nase, Strongly β-irresolute functions, J.Natur. Sci. Math., 36, 199-206, (1996).
[19] S. Fomin, Extensions of topological spaces, Ann. Math., 44, 471- 480 , (1943)
[20] S. Jafari, Some properties of quasi θ-continuous functions, Far East J. Math. Soc., 6, 689-696 , (1998).
