Strong Form of Pre-I-Continuous Functions

Upper and lower β(⋆)-continuity

“…For a subset of an ideal topological space ( , , ℐ), the intersection of all -ℐ-closed sets containing is called the -ℐ-closure [26] of and is denoted by Cl ℐ ( ). The union of all -ℐ-open sets contained in is called the -ℐ-interior [26] of and is denoted by Int ℐ ( ).…”