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IJPMS > Volume 19 > Certain Types of Continuity via Ig**α-Closed Sets
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Certain Types of Continuity via Ig**α-Closed Sets

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Abstract:

In this paper we introduce and investigate the notion of Ig**α-continuous functions, almost Ig**α-continuous functions and discussed the relationship withother continuous functions and obtained their characteristics. Finally we obtain the decomposition of *α-continuity.

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Periodical:
International Journal of Pure Mathematical Sciences (Volume 19)
Pages:
20-29
Citation:
C. Santhini and M. Suganya, "Certain Types of Continuity via Ig**α-Closed Sets", International Journal of Pure Mathematical Sciences, Vol. 19, pp. 20-29, 2017
Online since:
December 2017
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References:

[1] J. Dontchev, M. Ganster, T. Noiri, Unified operation approach of generalized closed sets via topological ideal, Math. Japanica. 49 (1999) 395-401.

[2] E. Hatir, T. Noiri, On decomposition of continuity via idealization, Acta Math. Hungar. 96(4) (2002) 341-349.

[3] T. Husain, Almost continuous mappings, Prace Mat. 10(1) (1966) 1-7..

[4] V. Inthumathi, S. Krishnaprakash, M. Rajamani, Strongly-I-locally closed sets and decompositions of ∗-continuity, Acta Math. Hungar. 130(4) (2011) 358-362.

DOI: https://doi.org/10.1007/s10474-010-0011-0

[5] D. Jankovic, T.R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly. 97(4) (1990) 295-310.

[6] J.G. Kang, C.S. Kim, On P-I open sets, Honam Mathematical J. 31(3) (2009) 293-314.

[7] M. Khan, T. Noiri, On gI-closed sets in ideal topological spaces, Journal of Advanced Studies in Topology. 11 (2010) 29-33.

[8] K. Kuratowski, Topology, Vol. I, Academic Press, New York, (1966).

[9] N.R. Paul, RgI-closed set in ideal topological spaces, International Journal of Computer Applications. 69(4) (2013) 23-27.

[10] M. Rajamani, V. Inthumathi, S. Krishnaprakash, Some stronger local function via ideals, J. Adv. Res. Pure Math. 2 (2010) 48-52.

[11] M. Rajamani, V. Inthumathi, S. Krishnaprakash, On I∗α g -closed sets and I∗α g -continuity, Jordan Journal of Mathematics and Statistics. 5(3) (2012) 201-208.

[12] M. Rajamani, V. Inthumathi, S. Krishnaprakash, Iπg -closed sets and Iπg-continuity, J. Adv. Res. Pure Math. 2(4) (2010) 63-72.

[13] R. Santhini, M. Rameshkumar, On πgI-continuous functions on ideal topological spaces, Scientific Studies and Research Series Mathematics and Informatics. 25(1) (2015) 225-236.

[14] C. Santhini, M. Suganya, New form of generalized closed sets via ideal topology, Proceedings of International Conference on Recent Trends in Applied Mathematics, S.R.N.M. College, Sattur, India, (2017).

[15] R. Vaidynathaswamy, The localization theory in set topology, Proc. Indian Acad. Sci. Math . Sci. 20 (1945) 51-61.

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