Abstract

This paper deals with the concept of generalized $\delta p(\Lambda,s)$-closed sets. Especially, some properties of generalized $\delta p(\Lambda,s)$-closed sets are discussed. Moreover, we apply the notion of generalized $\delta p(\Lambda,s)$-closed sets to present and study new classes of spaces called $\delta p(\Lambda,s)$-$T_\frac{1}{2}$-spaces and $\delta p(\Lambda,s)$-normal spaces. Several properties and characterizations concerning $\delta p(\Lambda,s)$-$T_\frac{1}{2}$-spaces and $\delta p(\Lambda,s)$-normal spaces are established.

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