On locally closedness and continuity

The aim of this paper is to introduce new classes of sets called δ-semi-generalized closed sets, locally δ-semi-generalized closed, lδsgc∗-sets, lδsgc∗∗-sets. Also, we introduce several forms of LδSGC-continuous functions. We discuss their properties and several examples are provided to illustrate the behaviour of these new types of sets and functions.