∆*-Locally Continuous Functions and ∆*-Locally Irresolute Maps in Topological Spaces

  • Authors

    • K. Meena
    • K. Sivakamasundari
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.21027
  • ∆*-closed set, ∆*-continuous functions, ∆*-irresolute maps, -space and ∆* -submaximal space.

  • The objective of the paper is to introduce a new types of continuous maps and irresolute functions called ∆*-locally continuous functions and ∆*-irresolute maps in topological spaces. The comparative study between these functions with other existing maps is discussed in this paper. Some significant results are also proved as an application of new spaces namely, ∆*-submaximal space and  –space. Further the characteristics of these maps under composition maps are exhibited.

     

     

  • References

    1. [1] Balachandran, K., Sundaram, P. and Maki, H., (1996), Generalised locally closed sets and GLC-continuous functions, Indian J. Pure and Applied Mathematics, 27(3), 235-244.

      [2] Bourbaki, N., (1966), General Topology-Part-I, Addision-Wesley, reading Mass.

      [3] Ganster, M. and Reilly, I.L.,(1989), Locally closed sets and LC-continuous functions, Int.J.Mathematical Sciences, 12(3), 417-424.

      [4] Meena, K. and Sivakamasundari, K., (2014), δ(δg)*-closed sets in topological spaces, Int. J. Innovative Research in Science, Engineering and TechnologN, 3(7), 14749-14754.

      [5] Meena, K. and Sivakamasundari, K., (2015), ∆*-continuous functions in topological spaces, Int. J. Science Technology and Management, 4(01), 182-190.

      [6] Meena, K. and Sivakamasundari, K., (2016), ∆*-irresolute maps in topological spaces, Int. J. Applied Engineering Research, 11(01), 320-323.

      [7] Meena, K., Analysis of ∆*-closed sets in topological spaces, Ph.D.,Thesis (2016), Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, TamilNadu, India.

      [8] Noiri, T.,(1980), On δ-continuous functions, J.korean Math. Soc., 16, 161-166.

      [9] Velicko, N.D.,(1968), H-closed topological spaces, Amer.Math.Soc.Transl., 78, 103-118.

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  • How to Cite

    Meena, K., & Sivakamasundari, K. (2018). ∆*-Locally Continuous Functions and ∆*-Locally Irresolute Maps in Topological Spaces. International Journal of Engineering & Technology, 7(4.10), 407-409. https://doi.org/10.14419/ijet.v7i4.10.21027