On strong form of \(\delta\)-\(I\)-continuous functions and \(R\)-\(I\)-continuous functions

Abstract

We introduce and investigate the notion of strongly \(\delta\)-\(I\)-continuous functions, \(R\)-\(I\)-continuous functions and strongly \(R\)-\(I\)-continuous functions in ideal topological spaces. We obtain some characterizations and properties of these functions. We also study the relationship between these functions and some other weak and strong forms of continuities in ideal topological spaces.