Contra β * - Continuous Functions in Topological Spaces

P. Anbarasi Rodrigo; K.Rajendra Suba

doi:https://doi.org/10.14445/22315373/IJMTT-V55P573

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 8 | Year 2018 | Article Id. IJMTT-V55P573 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P573

Contra β * - Continuous Functions in Topological Spaces

P. Anbarasi Rodrigo , K.Rajendra Suba

Abstract

The notion of contra continuous functions was introduced and investigated by Dontchev. In this paper, we apply the notion of β* -closed sets in topological space to present and study a new class of functions called contra β* - continuous and almost contra β* -continuous functions as a new generalization of contra continuity.

Keywords

contra β* -continuous and almost contra β* -continuous functions

References

[1] P.Anbarasi Rodrigo and K.Rajendra Suba, More functions associated with  *-Continuous, International Journal Of Advancement In Engineering Technology Management & Applied Science, Volume 5, (47- 56).
[2] Anbarasi Rodrigo and Rajendra Suba, A new notion of β*- closed sets, IMRF.
[3]Anbarasi Rodrigo and Rajendra Suba, Functions related to β*- closed sets in topological space, International Conference On Recent Trends In Mathematics And Information Technology(ICRMIT-2018)
[4] M. Caldas, S. Jafari, T. Noiri, M. Simeos, A new generalization of contra-continuity via Levines g-closed sets,Chaos Solitons Fractals 42 (2007), 1595–1603.
[5] M. Caldas and S. Jafari, Some properties of contra- continuous functions, Mem. Fac. Sci. Kochi Univ. Series A. Math., 22 (2001),pp. 19- 28.70 A. VADIVEL, R. RAMESH, AND D. SIVAKUMAR
[6] J. Dontchev, Contra-continuous functions and strongly S-closed spaces, Internat. J.Math. Math. Sci. 19 (1996),303–310.
[7] J. Dontchev, T. Noiri, Contra-semicontinuous functions, Math. Pannon. 10 (1999),159–168.
[8] E. Ekici, Almost contra-precontinuous functions, Bull. Malays. Math. Sci. Soc. , 27 (2004), pp. 53-65.
[9] S. Jafari and T. Noiri, On contra-precontinuous functions, Bull.Malays. Math. Sci. Soc. , 25 (2002), pp. 115-128.
[10] S. Jafari and T. Noiri, Contra-continuous functions between topological spaces, Iran. Int. J. Sci., 2 (2001), pp. 153-167.
[11] A.A. Nasef, Some properties of contra--continuous functions,Chaos Solitons Fractals, 24 (2005), pp. 471-477.
[12] T. Noiri and V. Popa, Some properties of almost contra pre continuous functions, Bull. Malays. Math. Sci. Soc., 28 (2005),pp. 107-116.
[13] P.G. Palanimani and R. Parimelazhagan, closed sets in topologicalspaces, ROSR Journal of Mathematics, 5 (2013), pp. 47-50.
[14] Pious Missier .S and P.Anbarasi Rodrigo, Some Notions of nearly open sets in Topological Spaces, International Journal of Mathematical Archive 4(12), 2013, 1-7

Citation :

P. Anbarasi Rodrigo , K.Rajendra Suba, "Contra β * - Continuous Functions in Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 8, pp. 559-566, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P573