On almost e-ℐ-continuous functions

Abstract

This work is concerned with a new class of functions called almost ee-ℐ{\mathcal{ {\mathcal I} }}-continuous functions containing the class of almost ee-continuous functions. This notion is stronger than almost δβℐ\delta {\beta }_{{\mathcal{ {\mathcal I} }}}-continuous functions and is weaker than both almost ee-continuous functions and ee-ℐ{\mathcal{ {\mathcal I} }}-continuous functions. Relationships between this new class and other classes of functions are investigated and some characterizations of this new class of functions are studied.

Keywords

• ideal topological space
• e-ℐ-open
• semi*-ℐ-open
• pre*-ℐ-open
• 54a05