Abstract

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.

Keywords and Phrases

$\lambda$-closed set, $\alpha$-closed set, $\lambda^{\alpha}_{g}$-closed set, $\lambda^{\alpha}_{g}$-closed map and $\lambda^{\alpha}_{g}$-open map.

A.M.S. subject classification

54.

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