$\psi^{*}\alpha$-Closed Sets in Bitopological Spaces


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Authors

  • N. Balamani Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women University, Coimbatore, Tamil Nadu, India
  • A. Parvathi Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women University, Coimbatore, Tamil Nadu, India

Keywords:

$\psi^{*}\alpha$-closed set, $\psi^{*}\alpha$-open set, $\psi$g-open set, $\tau_{i}$-open set

Abstract

In this paper we introduce $\psi^{*}\alpha$-closed sets in bitopological spaces and obtain the relationship between the other existing closed sets. Also we study the notion of $(i, j)$-$\psi^{*}\alpha$-closure operator and some of its properties. As applications we introduce $(i, j)$-${}_{\psi^*\alpha}T_{c}$-space, $(i, j)$-${}_{\psi^*\alpha}T_{\alpha}$-space and study some of their properties.

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Published

01-12-2017

How to Cite

N. Balamani, & A. Parvathi. (2017). $\psi^{*}\alpha$-Closed Sets in Bitopological Spaces. International Journal of Mathematics And Its Applications, 5(4 - D), 449–456. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1291

Issue

Vol. 5 No. 4 - D (2017)

Section

Research Article

License

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