On Some Mixed Types of Continuity on Generalized Neighborhood Systems

Abstract

The aim of this paper is to introduce mixed almost \((\psi,\psi_{1}\psi_{2})\)-continuity and mixed weakly \((\psi,\psi_{1}\psi_{2})\)-continuity between a generalized neighborhood system \(\psi\) and two generalized neighborhood systems \(\psi_{1}\), \(\psi_{2}\). We investigate 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.