On β-local Functions in Ideal topological Spaces

Authors

  • Pournima Powar Department of Mathematics and Computer Science, R. D. University, Jabalpur, India.
  • Takashi Noiri 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 Japan
  • Shikha Bhadauria Department of Mathematics

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i4.3856

Keywords:

$\beta$-open set, $\beta$-local function, I_{s*g}-$\beta$-closed set, operation cl^{*}_{$\beta$}, I_{g}-$\beta$-closed set

Abstract

In this paper, by using β-open sets in [1] we introduce and investigate the concepts
of the β-local function, Is∗g-β-closed sets and Ig-β-closed sets in an ideal topological space. In addition to the properties, an operation cl∗β is defined and the properties are obtained similarly with the local function in [8].

Author Biographies

  • Pournima Powar, Department of Mathematics and Computer Science, R. D. University, Jabalpur, India.
    Department of Mathematics
  • Takashi Noiri, 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 Japan
    Department of Mathematics
  • Shikha Bhadauria, Department of Mathematics
    Department of Mathematics

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Published

2020-10-31

Issue

Vol. 13 No. 4: (October 2020)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

On β-local Functions in Ideal topological Spaces. (2020). European Journal of Pure and Applied Mathematics, 13(4), 758-765. https://doi.org/10.29020/nybg.ejpam.v13i4.3856