On some mixed types of continuity on generalized neighborhood systems

Abstract

The aim of this paper is to introduce mixed almost (ψ,ψ1ψ2)-continuity and mixed weakly (ψ,ψ1ψ2) continuity between a generalized neighborhood system ψ and two generalized neighborhood systems ψ1, ψ2. Weinvestigate their properties and several examples are provided to illustrate the behavior of between these new types of mixed continuity and some other mixed continuities on generalized topological spaces.