On ψ gs-Functions in Bitopological Spaces

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.