On a new operator on filter generalized topological spaces

DOI: https://doi.org/10.37193/CMI.2017.01.12

The purpose of this paper is to introduce the notion of $\psi_{\mathcal{F}}$ operator induced by a given filter $\mathcal{F}$ and a generalized topology $\mu$, and to investigate some properties of this operator. We shall further discuss some characterizations of this operator with the help of $\mathcal{F}$-codeness and $\mathcal{F}$-compatibility