We apologize for a recent technical issue with our email system, which temporarily affected account activations. Accounts have now been activated. Authors may proceed with paper submissions. PhDFocusTM
CFP last date
20 December 2024
Reseach Article

(I, j) - Rw Closed Sets in Bitopological Spaces

by M. Karpagadevi, A. Pushpalatha
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 47 - Number 6
Year of Publication: 2012
Authors: M. Karpagadevi, A. Pushpalatha
10.5120/7195-9962

M. Karpagadevi, A. Pushpalatha . (I, j) - Rw Closed Sets in Bitopological Spaces. International Journal of Computer Applications. 47, 6 ( June 2012), 32-37. DOI=10.5120/7195-9962

@article{ 10.5120/7195-9962,
author = { M. Karpagadevi, A. Pushpalatha },
title = { (I, j) - Rw Closed Sets in Bitopological Spaces },
journal = { International Journal of Computer Applications },
issue_date = { June 2012 },
volume = { 47 },
number = { 6 },
month = { June },
year = { 2012 },
issn = { 0975-8887 },
pages = { 32-37 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume47/number6/7195-9962/ },
doi = { 10.5120/7195-9962 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:41:13.200645+05:30
%A M. Karpagadevi
%A A. Pushpalatha
%T (I, j) - Rw Closed Sets in Bitopological Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 47
%N 6
%P 32-37
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we introduce and study the concept of a new class of closed set called (i, j)-regular weakly closed set (briefly (i,j) - rw closed set) in bitopological spaces and discuss some of their properties in bitopological spaces.

References
  1. Abd El-Monsef . M. E. , El-Deeb. S. N and Mahmoud. R. A. , ? – open sets and ? – continuous mappings, Bul. Fac. Sci. Assisut Univ. 12(1983),77-90
  2. Andrijevic. D, Semi-preopen sets,Mat. Vesnik 38(1986),24-32
  3. Arockiarani. I, Studies on generalizations of generalized closed sets and maps in topological spaces, Ph. D. , Thesis, Bharathiar Univ. , Coimbatore,1997.
  4. Arya, S. P and Nour. T. M. , Quasi Semi-components in bitopological spaces, Indian J. Pure Appl. Math. , 21(1990), 649-652.
  5. Arya, S. P and Nour. T. M. , Separation axioms for bitopological spaces, Indian J. Pure Appl. Math. , 19(1998), 42-50.
  6. Benchalli. S. S and Wali. R. S. , On R?-closed sets in topological spaces, Bull. Malays. math. Sci. Soc(2) 30(2) (2007), 99-110.
  7. Bhattacharyya, P. and Lahiri, B. K. , Semi-generalized closed sets in topology, Indian J. Math. , 29(1987), 376-382.
  8. Bose. S. , Sinha. D. , Almost open, almost closed, ?-continuous and almost compact mappings in bitopological spaces. Bull. Calcutta Math. Soc. 73(1981), 345-354.
  9. Crossley. S. G and Hildebrand. S. K, Semi-closure, Texas J. Sci. 22(1971),99-112.
  10. El-Tantawy. O. A and Abu-Donia. H. M, Generalized Separation Axioms in Bitopological Spaces, The Arabian ? for Science and Engg. Vol. 30,N0. 1A,117-129(2005)
  11. Fukutake, T. , On generalized closed sets in bitopological spaces, Bull. Fukuoka Univ. Ed. Part III, 35(1986), 19-28.
  12. Futake, T. , Sundaram, P. , and Nagaveni, N. , On weakly generalized closed sets, weakly generalized continuous maps and Twg spaces in bitopological spaces, Bull. Fukuoka Univ. Ed. Part III, 48(1999), 33-40.
  13. Futake, T. , Sundaram, P. , and SheikJohn. M. , 2002, ?-closed sets, ?-open sets and ?-continuity in bitopological spaces Bull. Fukuoka Univ. Ed. Vol. 51. Part III 1-9.
  14. Jelic. M. , A decomposition of pairwise continuity, J. Inst. Math. Comp. Sci. ,3,25-29(1990).
  15. Jelic. M. , Feebly p-continuous mappings. V International Meeting on Topology in Italy (Itaian) (Lecce,1990/Otranto,1990). Rend. Circ. Mat. Palermo(2) Suppl. No. 24(1990),387-395.
  16. Kelly, J. C. , Bitopological spaces, Proc. London Math. Soc. 13(1963), 71-89.
  17. Maheswari, S. N. , and Prasad, R. , Semi open sets and semi continuous functions in bitopological spaces. Math Notae, 26, (1977/78),29-37.
  18. Maki, H. , Devi, R. , and Balachandran, K. , Associated topologies of generalized ?-closed sets, mem. Fac. Sci. Kochiuniv. Ser. A. math. , 15(1994), 51-63.
  19. Maki, H. , Devi, R. , and Balachandran, K. , generalized ?-closed sets in topology, Bull. Fukuoka Univ. Ed. Part III, 42 (1993) 13-21.
  20. Maki. H, Umehara. J and Noiri. T, Every Topological space is pre-T1/2 , Mem. Fac. Sci. Kochi Univ. Ser. A. Math. 17(1996),33-42
  21. Mashhour. A. S. , Hasanein. I. A and El-Deeb. S. N. ,?- open mappings,Acta. Math. Hungar. 41(1983),213-218.
  22. Mashhour. A. S. , Abd El-Monsef . M. E. and El-Deeb. S. N. On pre continuous mappings and week pre-continuous mappings,Proc Math, Phys. Soc. Egypt 53(1982),47-53.
  23. Nagaveni. N. , Studies on Generalizations of Homeorphisms in Topological Spaces,Ph. D. Thesis, Bharathiar University, Coimbatore, 1999.
  24. Park, J. K. , and Park, J. H. , Mildly generalized closed sets, almost normal and miklly. Chaos, Solitons and Fractals 20(2004), 1103-1111.
  25. Patty, C. W. , Bitopological spaces, Dukemath. J. 34(1967), 387-392.
  26. Pushpalatha, A. , Studies on generalizations of mappings in topological spaces, Ph. D. , Thesis, Bharathiar University, Coimbatore – 2000.
  27. Rajamani, M. and Viswanathan, K. , On ?gs-closed sets in bitopological spaces, Bull. Pure and applied Sciences. Vol. 24E (No. 1) 2005: P. 39-53.
  28. SheikJohn, M. and Sundaram, P. , g*-closed sets in bitopological spaces, Indian J. Pure. Appl. Math. , 35(1), 71-80(2004).
  29. Stone. M. , Application of the Theory of Boolean rings to general Topology, Trans. Amer. Math. Soc. 41(1937),374-481
  30. Sundaram, P. and SheikJohn. M. , ON ?-closed sets in topology, Acta ciencia Indica 4(2000), 389-392.
  31. Veerakumar M. K. R. S. , g*-preclosed sets in Topology. Acta Ciencia Indica,XXVIII(1):51:60,2002.
  32. Veerakumar M. K. R. S. , Between closed sets and g-closed sets, Mem. Fac. Sci. Kochiuniv. (Math). 21(2000),1-19.
Index Terms

Computer Science
Information Sciences

Keywords

(i J) - Rw Closed Sets