29Aug 2017

REGULAR MILDLY GENERALIZED CLOSED AND REGULAR MILDLY GENERALIZED OPEN MAPS IN TOPOLOGICAL SPACES.

  • Department of Mathematics, Bhandari & Rathi College, Guledagudd-587 203, Karnataka, India.
  • Department of Mathematics, Rani Channamma University, Belagavi-591 156, Karnataka, India.
  • Abstract
  • Keywords
  • References
  • Cite This Article as
  • Corresponding Author

In this article, we introduce a new class of RMG-closed and RMG-open maps in topological spaces and study some of their properties as well inter relationship with other closed and open maps.


  1. Arockiarani, Studies on generalization of generalized closed sets and maps in topological spaces, Ph.D Thesis, Bharathiar University, Coimbatore, (1997)
  2. S. Benchalli and R. S. Wali, On rw-closed sets on topological spaces, Bull. MalaysiaMath. Sci. Soc., 30(2007), 99-110.
  3. El-Deeb, N. Hasanein, I. A. Noiri, T. and Mashhour, S. On P-regular spaces, Bull. Math. Soc. Sci. Math. R. S. Roumanie, 27(1983), 311-319.
  4. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(1970), 89-96.
  5. E. Long and L. L. Heirington, Basic properties of regular closed functions, Rend. Cir. Math. Palermo, 27(1978), 20-28.
  6. R. Malghan., Generalized closed maps, J. Karnataka Univ. Sci., 27(1982), 82-88.
  7. Maki, R. Devi and K. Balachandran, Associated topologies of generalized α-closed sets and α-generalized closed sets, Mem. Sci. Kochi Univ.Ser. A. Math., 15(1994), 51-63.
  8. S. Mashhour, M. E. Abd. El-Monsef and S. N. El-Deeb, On pre-continuous and mappings and weakly pre-continuous mappings, Proc. Math. Phy. Soc. Egypt, 53(1982), 47-53
  9. Nagaveni, Studies on Generalizations of Homeomorphisms in Topological Spaces, Ph.D.Thesis, Bharathiar University, Coimbatore, 1999.
  10. Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
  11. Palaniappan and K.C.Rao, Regular generalised closed sets, kyungpook math, J., 33(1993), 211-219.
  12. K. Park and J.H. Park, Mildly generalized closed sets, almost normal and mildly normal spaces, Chaos, Solitions and Fractals, 20(2004), 1103- 1111.
  13. Ravi1*. I. Rajasekaran1 and M. Sathyabama2, Weakly g*-closed sets, International Journal of Current Research in Science and Technology, Volume1, Issue 5(2015), 45-52.
  14. Ratnesh Kumar Saraf and Miguel Caldas, Between closed maps and g-closed maps, Bulletin of the Greek Mathematical Society Valume 53, 2007(135-146).
  15. Sheik John, A study on generalizations of sets on continuous maps in topological and bitopological spaces, Ph.D. Thesis Bharathiar Univ., Coimbatore (2002).
  16. Stone, Application of the theory of Boolian rings to general topology, Trans. Amer. Math. Soc., 41(1937), 374-481.
  17. S. Wali, Nirani Laxmi, On Regular Mildly Generalized (RMG) Closed sets in topological spaces. International Journal of Mathematical Archive-7(7), 2016, 108-114.
  18. S. Wali, Nirani Laxmi, On Regular Mildly Generalized (RMG) Open Sets in Topological Spaces?, IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 12, Issue 4, Ver. IV (Jul.-Aug.2016), PP 93-100.
  19. S. Wali, Nirani Laxmi and Basayya B. Mathad, On Regular Mildly Generalized (RMG) Continuous and irresolute functions in Topological Spaces?, International Journal of Mathematics Trends and Technology-Paper ID- MTT6167.

[R. s. wali, nirani laxmi and basayya b. Mathad. (2017); REGULAR MILDLY GENERALIZED CLOSED AND REGULAR MILDLY GENERALIZED OPEN MAPS IN TOPOLOGICAL SPACES. Int. J. of Adv. Res. 5 (Aug). 1877-1886] (ISSN 2320-5407). www.journalijar.com


NIRANI LAXMI
RESEARCH SCHOLAR, RANI CHANNAMMA UNIVERSITY, BELAGAVI, KARNATAKA(INDIA)

DOI:


Article DOI: 10.21474/IJAR01/5254      
DOI URL: https://dx.doi.org/10.21474/IJAR01/5254