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ON gprµ-CLOSED MAPPINGS AND gprµ-OPEN MAPPINGS

  • Menon, Vidhya (Department of Mathematics, CMS College of Science and Commerce) ;
  • Ilango, Gnanambal (Department of Mathematics, Government Arts College)
  • Received : 2016.08.08
  • Accepted : 2017.08.09
  • Published : 2017.09.30

Abstract

In this paper we define new types of mappings known as $gpr^{\mu}$-closed mappings, $gpr^{\mu}$-open mappings and discuss its properties. Furthermore we introduce the concepts of supra $pre^*$-normal spaces and also investigate its properties.

Keywords

References

  1. R.Devi, S.Sampathkumar and M.Caldas, On Supra ${\alpha}$-open sets and $S{\alpha}-$continuous functions, General Mathematics 16(2)(2008), 77-84.
  2. W.Dunham, $T_{\frac{1}{2}}$-spaces, Kyungpook Math.J. 17(1977), 161-169.
  3. Gnanambal Ilango and Vidhya Menon, Characterizations of supra generalized preregular closed sets, Int. Jr. of Engineering, Contemporary Mathematics and Sciences 1(2)(2015),7-12.
  4. M.Kamraj, G.Ramkumar, O.Ravi and M.L.Thivagar, Supra sg-closed sets and related maps, Global Journal of Advances in Pure and Applied Mathematics 1(1)(2012), 9-23.
  5. S.R.Malghan, Generalized closed maps, J. Karnatak Univ. Sci. 27(1982), 82-88.
  6. A.S.Mashhour, A.A.Allam, F.S.Mahmoud and F.H.Khedr, On supra topological spaces, Indian J. Pure Appl. Math. 14(4)(1983), 502-510.
  7. O.Ravi, G.Ramkumar and M.Kamaraj, On supra g-closed sets, International Journal of Advances in Pure and Applied Mathematics 1(2)(2011), 52-66.
  8. O.R.Sayed and Takashi Noiri, On supra b-open sets and supra b-continuity on topological spaces, European Journal of Pure and Applied Mathematics 3(2) (2010), 295-302.
  9. O.R.Sayed, Supra pre-open sets and supra pre-continuity on topological spaces, Scientific Studies and Research Series Mathematics and Informatics 20(2)(2010), 79-88.
  10. O.R.Sayed, Gnanambal Ilango and Vidhya Menon, An extensive study of supra generalized pre-regular closed sets, International Journal of Pure and Applied Mathematics 106(6)(2016), 57-73.
  11. M.Trinita Pricilla and I.Arockiarani, On generalized b-regular closed sets in supra topological spaces, Asian Journal of Current Enigineering and Maths 1(1)(2012), 1-4.
  12. Vidhya Menon, On generalized preregular closed sets in supra topological spaces, International Journal Of Scienti c & Engineering Research 3(11)(2012), 6-11.
  13. Won Keun Min and Hong Soon Chang, On M-open mappings, Kangweon-Kyungki Math.Jour. 7(1)(1999), 117-121.