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Pre mx Generalized Closed Set and its Application

Year 2013, Volume: 2 Issue: 3, 38 - 48, 01.03.2013

Abstract

– In this paper, we Introduce the notions of pre generalized Closed set in the Tm space generated by X structure and investigate some of its properties for such notions. Further we study the new concept of PreClosed set. generalized

References

  • K. Balachandran, P. Sundaram, H. Maki, On generalized continuous functions in topological spaces, Mem. Fac. Sci. Kochi Univ. Ser. A Math.,12(1991),5-13
  • SharmisthaBhattacharya(Halder),Gour pal, Study on PremX-open Set, International Mathematical forum, Vol. 6, 2011, no. 45, 2231 -2237.
  • P. Bhattacharyya, B. K .Lahiri, Semi-generalized closed sets in topology, Indian Journal of Mathematics, 29(1987) pp. 375–382.
  • SharmisthaBhattacharya(Halder),Gour pal, a study on pre- mX Continuous function, Communicated .
  • J. Dontchev , On generalizing semi-preopen sets, Memoirs of Faculty of Science Kochi
  • University, Series A, Mathematics, 16(1995), pp. 35–48,
  • T. Fukutake, A. Nasef, A.I. El-Maghrabi. Some topological concepts via -generalized closed sets, Bulletin of Fukuoka University, Ed. III , 52(2003) pp. 1–9.
  • Y. Gnanambal, On generalized pre-regular closed sets in topological spaces, Indian J. pure. Appl.Math., 28(3)(1997), 351-360.
  • N. Levine , Generalized closed sets in topology, Rendiconti del CircoloMatematico di Palermo (2), 19(1970),p.p. 89–96.
  • H. Maki, K.C. Rao, A. NagoorGani, On generalizing semi-open and preopen sets, Pure Appl. Math. Sci. 49(1999), 17–29.
  • H. Maki, R Devi, K. Balachandran, Associated topologies of generalized α-closed sets and α- generalized closed sets, Memoirs of Faculty of Science Kochi University, Series A, Mathematics,15(1994) pp. 51–63.
  • A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, Onpre continuous and weak pre continuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982),47-53.
  • W. K. Min and Y. K. Kim, m-Preopen Sets and M-Precontinuity On Spaces With Minimal Structures, Advances in Fuzzy Sets and Systems 4 (2009), no.3, 237-245.
  • T. Noiri, 11th meetings on topological spaces and its applications, Fukuoka University Seminar House, 2006, 1-9.
  • T. Noiri, A unified theory for certain modifications of generalized closed sets, Rendiconti del Circolomatematico di palermo, serie II, tomo LVI(2007), pp. 171-184.
  • T. Noiri, H. Maki ,J. Umehara, Generalized preclosed functions, Memoirs of Faculty of Science Kochi University, Series A, Mathematics, 19(1998), pp. 13–20,
  • T. Noiri, V. Popa, A generalization of some forms of g-irresolute functions,European journal of pure and applied mathematics,Vol.2,No. 4(2009),473-493.
  • R. Parimelazhagan, K. Balachandran, N. Nagaveni, Weakly generalized closed sets in minimal structure,Int. J. Contemp. Math. Sciences, Vol. 4, 2009, no. 27, 1335 – 1343.
  • V. Popa. And T. Noiri, On M-continuous functions, Anal. Univ. ”Dunarea de Jos” Galati. Ser. Mat. Fiz. Mec. Teor. (2), 18(23) (2000), 31 - 41.
  • V.Popa,Noiri T, On the definitions of some generalized forms of continuity under minimal conditions, memoirs of Faculty of Science Kochi University, Series A, Mathematics, 22(2001), pp.31–41.
  • V. Popa and T. Noiri.On m-continuous functions.Anal.Uni'Dunarea De, jos'Galati, Ser. Mat.,Fiz., 18(23)(2000)31-41.
  • V. Popa, T. Noiri, A unified theory of weak continuity for functions, Rend.Circ. Mat. Palermo51(2002), 439–464.
  • A. Pushpalatha and E. Subha, Strongly generalized closed sets in minimal structures. Int. J. of Math. Anal., 3(26)(2009),1259-1263.
  • O. Ravi , S. Jeyashri, K. Vijayalakshmi and J. Antony Rex Rodrigo, On Strongly Minimal g-continuous functions in minimal structures, Journal of Advanced Studies in Topology ISSN: 2090-388X online Vol. 1, No. 2, 2010, 29-36.
Year 2013, Volume: 2 Issue: 3, 38 - 48, 01.03.2013

Abstract

References

  • K. Balachandran, P. Sundaram, H. Maki, On generalized continuous functions in topological spaces, Mem. Fac. Sci. Kochi Univ. Ser. A Math.,12(1991),5-13
  • SharmisthaBhattacharya(Halder),Gour pal, Study on PremX-open Set, International Mathematical forum, Vol. 6, 2011, no. 45, 2231 -2237.
  • P. Bhattacharyya, B. K .Lahiri, Semi-generalized closed sets in topology, Indian Journal of Mathematics, 29(1987) pp. 375–382.
  • SharmisthaBhattacharya(Halder),Gour pal, a study on pre- mX Continuous function, Communicated .
  • J. Dontchev , On generalizing semi-preopen sets, Memoirs of Faculty of Science Kochi
  • University, Series A, Mathematics, 16(1995), pp. 35–48,
  • T. Fukutake, A. Nasef, A.I. El-Maghrabi. Some topological concepts via -generalized closed sets, Bulletin of Fukuoka University, Ed. III , 52(2003) pp. 1–9.
  • Y. Gnanambal, On generalized pre-regular closed sets in topological spaces, Indian J. pure. Appl.Math., 28(3)(1997), 351-360.
  • N. Levine , Generalized closed sets in topology, Rendiconti del CircoloMatematico di Palermo (2), 19(1970),p.p. 89–96.
  • H. Maki, K.C. Rao, A. NagoorGani, On generalizing semi-open and preopen sets, Pure Appl. Math. Sci. 49(1999), 17–29.
  • H. Maki, R Devi, K. Balachandran, Associated topologies of generalized α-closed sets and α- generalized closed sets, Memoirs of Faculty of Science Kochi University, Series A, Mathematics,15(1994) pp. 51–63.
  • A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, Onpre continuous and weak pre continuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982),47-53.
  • W. K. Min and Y. K. Kim, m-Preopen Sets and M-Precontinuity On Spaces With Minimal Structures, Advances in Fuzzy Sets and Systems 4 (2009), no.3, 237-245.
  • T. Noiri, 11th meetings on topological spaces and its applications, Fukuoka University Seminar House, 2006, 1-9.
  • T. Noiri, A unified theory for certain modifications of generalized closed sets, Rendiconti del Circolomatematico di palermo, serie II, tomo LVI(2007), pp. 171-184.
  • T. Noiri, H. Maki ,J. Umehara, Generalized preclosed functions, Memoirs of Faculty of Science Kochi University, Series A, Mathematics, 19(1998), pp. 13–20,
  • T. Noiri, V. Popa, A generalization of some forms of g-irresolute functions,European journal of pure and applied mathematics,Vol.2,No. 4(2009),473-493.
  • R. Parimelazhagan, K. Balachandran, N. Nagaveni, Weakly generalized closed sets in minimal structure,Int. J. Contemp. Math. Sciences, Vol. 4, 2009, no. 27, 1335 – 1343.
  • V. Popa. And T. Noiri, On M-continuous functions, Anal. Univ. ”Dunarea de Jos” Galati. Ser. Mat. Fiz. Mec. Teor. (2), 18(23) (2000), 31 - 41.
  • V.Popa,Noiri T, On the definitions of some generalized forms of continuity under minimal conditions, memoirs of Faculty of Science Kochi University, Series A, Mathematics, 22(2001), pp.31–41.
  • V. Popa and T. Noiri.On m-continuous functions.Anal.Uni'Dunarea De, jos'Galati, Ser. Mat.,Fiz., 18(23)(2000)31-41.
  • V. Popa, T. Noiri, A unified theory of weak continuity for functions, Rend.Circ. Mat. Palermo51(2002), 439–464.
  • A. Pushpalatha and E. Subha, Strongly generalized closed sets in minimal structures. Int. J. of Math. Anal., 3(26)(2009),1259-1263.
  • O. Ravi , S. Jeyashri, K. Vijayalakshmi and J. Antony Rex Rodrigo, On Strongly Minimal g-continuous functions in minimal structures, Journal of Advanced Studies in Topology ISSN: 2090-388X online Vol. 1, No. 2, 2010, 29-36.
There are 24 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Sharmistha Bhattacharya (halder) This is me

Gour Pal This is me

Publication Date March 1, 2013
Published in Issue Year 2013 Volume: 2 Issue: 3

Cite

APA (halder), S. B., & Pal, G. (2013). Pre mx Generalized Closed Set and its Application. Journal of New Results in Science, 2(3), 38-48.
AMA (halder) SB, Pal G. Pre mx Generalized Closed Set and its Application. JNRS. March 2013;2(3):38-48.
Chicago (halder), Sharmistha Bhattacharya, and Gour Pal. “Pre Mx Generalized Closed Set and Its Application”. Journal of New Results in Science 2, no. 3 (March 2013): 38-48.
EndNote (halder) SB, Pal G (March 1, 2013) Pre mx Generalized Closed Set and its Application. Journal of New Results in Science 2 3 38–48.
IEEE S. B. (halder) and G. Pal, “Pre mx Generalized Closed Set and its Application”, JNRS, vol. 2, no. 3, pp. 38–48, 2013.
ISNAD (halder), Sharmistha Bhattacharya - Pal, Gour. “Pre Mx Generalized Closed Set and Its Application”. Journal of New Results in Science 2/3 (March 2013), 38-48.
JAMA (halder) SB, Pal G. Pre mx Generalized Closed Set and its Application. JNRS. 2013;2:38–48.
MLA (halder), Sharmistha Bhattacharya and Gour Pal. “Pre Mx Generalized Closed Set and Its Application”. Journal of New Results in Science, vol. 2, no. 3, 2013, pp. 38-48.
Vancouver (halder) SB, Pal G. Pre mx Generalized Closed Set and its Application. JNRS. 2013;2(3):38-4.


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