Volume 7 | Number 2 | Year 2014 | Article Id. IJMTT-V7P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V7P518
The authors introduced rpsI-closed sets and rpsI-open sets in ideal topological spaces and established their relationships with some generalized sets in ideal topological spaces. The aim of this paper is to introduce rpsI-totally continuous, totally rpsI-continuous, strongly rpsI-continuous functions and characterize their basic properties.
[1] E.Hatir and T.Noiri, On decomposition of continuity via idealization, Acta Math. Hungar., 96(4)(2002), 341-349.
[2] R.C.Jain, The role of regularly open sets in general topology, Ph.D. Thesis, Meerut University, Institute of advanced studies, Meerut-India,(1980).
[3] A. Keskin and T.Noiri, S. Yuksel, Idealization of a decomposition theorem, Acta. Math. Hungar., 102(2004), 269-277.
[4] T.M. Nour, Totally semi-continuous functions, Indian J. Pure Appl.Math.,26(7)(1995),675-678.
[5] B. Sakthi alias Sathya, S. Murugesan, On regular pre semi I closed sets in ideal topological spaces, International Journal of Mathematics and Soft Computing, vol 39(1)(2013), 37-46.
[6] B. Sakthi alias Sathya, S. Murugesan, Regular pre-semi-I continuous and regular pre-semi-I irresolute functions, International Journal of Mathematical Archieve, 4(3), 2013, 305-308.
B.SAKTHI , SATHYA , S.MURUGESAN, "Regular pre semi I totally continuous functions in Ideal Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 7, no. 2, pp. 136-143, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V7P518