A Decomposition of (µ,λ) - Continuity in Generalized Topological Spaces

Abstract

In this paper, we introduce and study the notions of ω(µ,λ) -H-continuity and ω^*(µ,λ)-H-continuity in generalized topological spaces. Also, we prove that f: (X,µ) → (Y,λ,H) is (µ,λ)-continuous if and only if it is ω(µ,λ)-H-continuous and ω^*(µ,λ)- H-continuous.

Key words and phrases. (µ,λ) -continuity, w_(µ,λ) -H-continuity, w^*_(µ,λ) -H-continuity.

2000 Mathematics Subject Classification. 54A05