On $\psi$ gs-Functions in Bitopological Spaces

Authors

  • Lezel Mernilo Tutanes Bukidnon State University

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i3.5208

Keywords:

bitopological spaces, $\psi$gs-closed set, $\psi gs$-open function, $\psi gs$-closed function, $\psi gs$-continuous function, $\psi gs$-irresolute function

Abstract

A subset $A$ of a bitopological space $(X,\tau_1,\tau_2)$ is called  \emph{$(i,j)$-$\psi$gs-closed} set if\\ $(i,j)\text{-}\psi cl(A)\subseteq U$ whenever $A\subseteq U$, $U$ is $(i,j)$-semi-open in $(X,\tau_1,\tau_2)$. In this work, the properties
of this set are considered to investigate the concepts of $\psi gs$-functions in bitopological spaces. Specifically, this study establishes some properties and provide characterizations of $\psi gs$-open and  $\psi gs$-closed functions, $\psi gs$-continuous functions, and  $\psi gs$-irresolute functions in bitopological spaces.

Author Biography

  • Lezel Mernilo Tutanes, Bukidnon State University

    Mathematics Department, Associate Professor 3

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Published

2024-07-31

Issue

Section

Nonlinear Analysis

How to Cite

On $\psi$ gs-Functions in Bitopological Spaces. (2024). European Journal of Pure and Applied Mathematics, 17(3), 2173-2181. https://doi.org/10.29020/nybg.ejpam.v17i3.5208