Perfectly g*b-Continuous Functions

Authors(1) :-S. Bharathi

The purpose of this paper is to introduce new classes of functions of g*b-irresolute function, strongly g*b-continuous functions and perfectly g*b-continuous function in topological spaces. Some of their properties and several characterizations of these types of functions are discussed. Also we investigate the relationship between these classes of functions.

Authors and Affiliations

S. Bharathi
Department of Mathematics, Bharathiar University PG Extension Centre, Erode, TamilNadu, India

b closed sets, strongly continuous functions, g-continuous functions, b irresolute functions.

  1. I . Arokiarani, K.Balachandran and J.Dontchev, Some characterization of gp-irresolute and gp-continuous maps between topological spaces, Mem. Fac. Kochi Univ. Ser. A. Math, 20(1999), 93-104.
  2. S. P. Arya and R. Gupta, On strongly continuous functions, Kyungpook Math. J. 14:131:143, 1974.
  3. I. Arokiarani, K. Barachandran and J. Dontchev, Some characterization of gp-irresolute and gp-continuous maps between topological spaces, Mem. Fac. Sci. Kochi Univ. Ser. A Math., 20 (1999), 93-104.
  4. K. Balachandran, P. Sundarm and H. Maki, On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Univ. Ser. A Math., 12 (1991), 5-13.
  5. R.Devi, K.Balachandran and H.Maki, Semi-generalized homeomorphisms and generalized semi-homeomorphisms in topological spaces, Indian J. Pure Appl.  Math., 26(1995), 271-284.
  6. R.Devi, K.Balachandran and H.Maki, Generalized α-closed maps and α-generalized closed maps, Mem. Fac. Kochi Univ. Ser. A. Math., 14(1993), 41-54.
  7. A.S.Mashhour, I.A.Hasanein and S.N.El.Deep, α- continuous and α-open mappings,   Acta. Math. Hunger., 41(1983), 213-218.
  8. B. M. Munshi and D. S. Bassan,g-continuous mappings, Vidya J. Gujarat Univ. B Sci.,24(1981), 63-68
  9. T.Noiri, A Generalization of Some Forms of g-Irresolute Functions, European journal of pure and applied mathematics vol. 2, no. 4, 2009, (473-493)
  10. A.A.Nasef, Some properties of contra -  continuous functions, Chaos Solitons Fractals 24 (2005), no. 2, 471 - 477.
  11. D.Iyappan and N.Nagaveni, On semi generalized b-continuous maps, semi generalized b-closed,maps in topological space, Int.Journal of Math. Analysis, vol.6, 2012, no.26, 1251-1264.
  12. R.S Wali and Prabhavati S Mandalgeri, On αrω-Continuous and αrω-Irresolute Maps in Topological Spaces,  IOSR Journal of Mathematics, Volume 10, Issue 6 Ver. VI (Nov - Dec. 2014), PP 14-24.

Publication Details

Published in : Volume 1 | Issue 5 | November-December 2015
Date of Publication : 2015-12-25
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 17-20
Manuscript Number : IJSRST151411
Publisher : Technoscience Academy

Print ISSN : 2395-6011, Online ISSN : 2395-602X

Cite This Article :

S. Bharathi, " Perfectly g*b-Continuous Functions", International Journal of Scientific Research in Science and Technology(IJSRST), Print ISSN : 2395-6011, Online ISSN : 2395-602X, Volume 1, Issue 5, pp.17-20, November-December-2015.
Journal URL :

Article Preview