Research Article

On (1, 2)*-?gb-Closed Sets

by  D. Sreeja, C. Janaki
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 42 - Issue 5
Published: March 2012
Authors: D. Sreeja, C. Janaki
10.5120/5691-7737
PDF

D. Sreeja, C. Janaki . On (1, 2)*-?gb-Closed Sets. International Journal of Computer Applications. 42, 5 (March 2012), 29-34. DOI=10.5120/5691-7737

                        @article{ 10.5120/5691-7737,
                        author  = { D. Sreeja,C. Janaki },
                        title   = { On (1, 2)*-?gb-Closed Sets },
                        journal = { International Journal of Computer Applications },
                        year    = { 2012 },
                        volume  = { 42 },
                        number  = { 5 },
                        pages   = { 29-34 },
                        doi     = { 10.5120/5691-7737 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2012
                        %A D. Sreeja
                        %A C. Janaki
                        %T On (1, 2)*-?gb-Closed Sets%T 
                        %J International Journal of Computer Applications
                        %V 42
                        %N 5
                        %P 29-34
                        %R 10.5120/5691-7737
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we introduce a new class of sets called (1, 2)*- ?gb-closed sets and a new class of generalized functions called (1, 2)*-?gb- continuous maps and (1, 2)*-?gb- irresolute maps in bitopological spaces. Also we obtain basic properties of (1, 2)*-?gb-closed sets. Further, we introduce a new space called (1, 2)*- ?gb-space.

References
  • D. Andrijevic, Semipreopen sets, Mat. Vesnik 38 (1986), no. 1, 24-32.
  • S. P. Arya and T. M. Nour, Characterizations of s- normal spaces, Indian J. Pure Appl. Math. 21 (1990) no 8, 717- 719.
  • D. Andrijevic, On b-open sets, Mat. Vesnik 48 (1996),no. 1-2, 59-64.
  • G. Aslim1, A. Caksu Guler1 and T. Noiri, On ?gs- closed sets in topological spaces Acta Math. Hungar. ,) (2006), 275-283.
  • Arockiarani and K. Mohana. (1, 2)*-?g?-closed sets and (1, 2)*- quasi-?- normal spaces in bitopological settings. Antartica J. Math. , 7(3), 45-355, 2010.
  • M. Caldas and S. Jafari, On some applications of b-open sets in topological spaces, Kochi J. Math. 2 (2007), 11-19.
  • J. Dontchev, On generalizing semi-preopen sets,,Mem Fac Sci. Kochi Univ. Ser. A Math. 16 (1995), 35-48.
  • J. Dontchev and M. Przemski,On the various decompositions of continuous and some weakly continuous functions, Acta Math. Hungar. 71 (1996), no. 1-2, 109-120.
  • E. Ekici and M. Caldas, Slightly -continuous functions, Bol. Soc. Parana. Mat. (3) 22 (2004),no. 2, 63-74.
  • M. Ganster and M. Steiner, On some questions about b-open sets, Questions Answers Gen. Topology 25 (2007), no. 1, 45-52.
  • C. Janaki, Studies on ?g?- closed sets in Topology, Ph. D Thesis,Bharathiar University 2009.
  • N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36- 41.
  • N. Levine, Generalized closed sets in topology ,Rend. Circ. Mat. Palermo (2) 1 (1970),89-96.
  • M. Lellis Thivagar, B. MeeraDevi, Bitopological B-Open sets, International Journal of Algorithms, Computing and Mathematics, Volume 3, Number 3, August 2010
  • S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deep, On precontinuous and weak pre-Continuous mappings, Proc. Math. Phys. Soc. Egypt No. 53 (1982), 47-53 (1983).
  • H. Maki, R. Devi and K. Balachandran, Associated topologies of generalized ?-closed sets and ? –generalized closed sets, Mem. Fac. Sci. Kochi Univ. Ser. A Math. 15 (1994), 51-63.
  • H. Maki, J. Umehara and T. Noiri,Every topological space is pre-T1/2 , Mem. Fac. Sci. Kochi Univ. Ser. A Math. 17 (1996), 33-4
  • O. Njastad, On some classes of nearly open sets, Paci_c J. Math. 15 (1965), 961-970.
  • A. A. Nasef, On b-locally closed sets and related topics, Chaos Solitons Fractals 12 (2001), no. 10, 1909-1915.
  • A. Nasef, Some properties of contra--continuous functions, Chaos Solitons Fractals 24 (2005), no. 2, 471-477.
  • J. H. Park, Strongly ?-b-continuous functions,Acta Math. Hungar. 110 (2006), no. 4, 347- 359.
  • O. Ravi and M. Lellis Thivagar, On Stronger forms of (1, 2)*- quotient mappings in bitopological spaces, Internat. J. Math. Game by and Algebra, 14(2004),no. 6,481 -492.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

(1 2)*-?gb-closed (1 2)*-?gb-open (1 2)*-?gb- Continuous Maps (1 2)*-?gb- Irresolute Maps (1 2)*- ?gb-space (1 2)*- ?gb-t1/2 Space

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