$\lambda^{\alpha}_{g}$-CLOSED AND $\lambda^{\alpha}_{g}$-OPEN MAPS IN TOPOLOGICAL SPACES

In this paper, the aspect of $\lambda^{\alpha}_{g}$-closed maps and $\lambda^{\alpha}_{g}$-open maps are explored using the recently introduced $\lambda^{\alpha}_{g}$-closed sets and $\lambda^{\alpha}_{g}$-open sets in topological spaces. Initially, the standard properties of $\lambda^{\alpha}_{g}$-closure and $\lambda^{\alpha}_{g}$-interior with appropriate examples are studied. Further, characterizations of $\lambda^{\alpha}_{g}$-closed maps and $\lambda^{\alpha}_{g}$-open maps are also investigated.