Contra continuity on generalized topological spaces

Contra µ-β-Generalized α-Continuous Mappings in Generalized Topological Spaces

“…The closed sets (briefly µ-CS) was defined and investigated by Kowsalya. Jayanthi. D [2,3] also introduced contra continuity and almost contra continuity on generalized topological spaces. In this -generalized α-Let us recall the following definitions which are used [1] Let X be a nonempty set.…”

“…Jayanthi. D [2,3] also introduced contra continuity and almost contra continuity on generalized topological spaces. In this paper, we have introduced contra µ-βcontinuous maps.…”

Contra (μg, λ)-Continuous Functions

“…The following Lemma due to D. Jayanthi stated without proof in [5], we give the proofs for the sake of completeness.…”

Omega open sets in generalized topological spaces

“…For a generalized topological space (X, µ), the elements of µ are called µ-open sets, the complements of µ-open sets are called µ-closed sets, the union of all elements of µ will be denoted by M µ , and (X, µ) is said to be strong if M µ = X. Recently many topological concepts have been modified to give new concepts in the structure of generalized topological spaces, see [3,4,9,13,14,15,16,17,21,22,23,24,25,26,27,28,30] and others. In this paper, we introduce the notion of ω-open sets in generalized topological spaces, and we use them to introduce new classes of mappings in generalized topological spaces.…”