Research Article

MxGh*-Interior and MxGh*--Closure in M-Structures

by  V. Kokilavani, M. Myvizhi
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 88 - Issue 3
Published: February 2014
Authors: V. Kokilavani, M. Myvizhi
10.5120/15332-3656
PDF

V. Kokilavani, M. Myvizhi . MxGh*-Interior and MxGh*--Closure in M-Structures. International Journal of Computer Applications. 88, 3 (February 2014), 17-21. DOI=10.5120/15332-3656 

                        @article{ 10.5120/15332-3656,
                        author  = { V. Kokilavani,M. Myvizhi },
                        title   = { MxGh*-Interior and MxGh*--Closure in M-Structures },
                        journal = { International Journal of Computer Applications },
                        year    = { 2014 },
                        volume  = { 88 },
                        number  = { 3 },
                        pages   = { 17-21 },
                        doi     = { 10.5120/15332-3656 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2014
                        %A V. Kokilavani
                        %A M. Myvizhi
                        %T MxGh*-Interior and MxGh*--Closure in M-Structures%T 
                        %J International Journal of Computer Applications
                        %V 88
                        %N 3
                        %P 17-21
                        %R 10.5120/15332-3656
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we introduceM_X G?^*-Interior,M_X G?^*-Closure and some of its basic properties.

References
  • Alimohammady M, Roohi M, Linear minimal spaces, Chaos, Solitons and Fractals, 33(4) (2007), 1348-1354.
  • Alimonammady M, Roohi M, Fixed Point in Minimal Spaces, Nonlinear Analysis: Modelling and Control, 2005, Vol. 10, No. 4, 305 – 314.
  • I. Arockiarani, Studies on Generalizations of Generalized Closed Sets and Maps in Topological Spaces, Ph. D Thesis, Bharathiar University, Coimbatore, (1997).
  • S. P. Arya and R. Gupta, On Strongly Continuous Mappings, Kyungpook Math. , J. 14(19740, 131 – 143.
  • K. Balachandran, P. Sundaram and H. Maki, On Generalized Continuous Maps in Topological Spaces, Mem. I ac Sci. Kochi Univ. Math. , 12(1991), 5 – 13.
  • P. Bhattacharyya and B. K. Lahiri, Semi-generalized Closed sets in Topology, Indian J. Math. , 29 (1987), 376 – 382.
  • Csaszar A, Generalized topology: generalized continuity, Acta. Math. Hunger. , 96, pp. 351 – 357, 2002. 6. S. Lugojan. Generalized Topology, Stud. Cerc. Math. , 34, pp. 348 – 360, 1982.
  • R. Devi, K. Balachandran and H. Maki, On Generalized ?-continuous Maps, Far. East J. Math. Sci. Special Volume, Part 1 (1997), 1 – 15.
  • W. Dunham, A New Closure Operator for non-T1 Topologies, Kyungpook Math. J. , 22 (1982), 55 – 60.
  • Y. Gnanambal, On Generalized Pre-regular Closed Sets in Topological Spaces, Indian J. Pure Appl. Math. , 28 (1997), 351 – 360.
  • Kokilavani V, Myvizhi M and VivekPrabhu M, Generalized ?^*-Closed sets in Topological Spaces, International Journal of Mathematical Archive, 4950, 2013, 274 – 279.
  • Kokilavani V,Myvizhi M, On M_X g?^*-closed sets in M-structures (Submitted).
  • Kokilavani V, Myvizhi M, On(M,Q,G?^*)-Open functions in M-structures, International Journal of Mathematics Trends and Technology, 4(2013), 386 – 393.
  • N. Levine, Generalized Closed Sets in Topology, Rend. Circ. Mat. Palermo, 19 (1970), 89 – 96.
  • Maki H, On generalizing semi-open sets and pre-open sets, in: Meeting on Topological Spaces Theory and its Application, August 1996, pp. 13 – 18.
  • Maki H, Rao K C and NagoorGani A, On generalizing semi-open and preopen sets,Pure Appl. Math. Sci. , 49(1999), 17–29.
  • Maki H, Umehara J, Noiri T, Every topological space is pre T ½, Mem. Fac. Sci. Kochi Univ. Ser. Math. , pp. 33 – 42.
  • S. R. Malghan, Generalized Closed Maps, J. Karnatak Univ. Sci. , 27(1982), 82 – 88.
  • Noiri T, On ?_m-sets and related spaces, in: Proceedings of the 8th Meetings on Topological Spaces Theory and its Applications, August 2003, pp. 31 – 41.
  • Noiri T, 11th meetings on topological spaces theory and its applications, Fukuoka University Seminar House, 2006, 1 – 9.
  • N. Palaniappan and K. C. Rao, Regular Generalized Closed Sets, Kyungpook, Math. J. , 33(1993), 211 – 219.
  • J. K. Park and J. H. Park, Mildly Generalized Closed Sets, Almost Normal and Mildly Normal Spaces, Chaos, Solutions and Fractals, 20(2004), 1103 – 1111.
  • Popa V, Noiri T, On M-continuous functions, Anal. Univ. "Dunarea Jos" – Galati, Ser, Mat. Fiz, Mec. Teor. Fasc. II, 18(23), pp. 31 – 41, 2000.
  • Popa V, NoiriT, On m-D-continuous axioms, J. Math. Univ. Istanbul Fac. Sci. , 61 / 62 (2002 / 2003), 15 – 28.
  • Won Keun Min, ?m-open sets and ?m-continuous functions, Commun. Korean Math. Soc. 25 (2010), N0. 2, pp. 251 – 256.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

M_X G?^*-open ? M?_X G?^*-closed M_X ?Int?_(G?^* ) (A) M_X ?Cl?_(G?^* ) (A).

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