On πgp-continuous functions in topological spaces

On πgs-closed sets in topological spaces

“…σ) by f (a) = a and f ( σ) is said to be (a) π-continuous [5] (resp. πg-continuous [4], πgp-continuous [19]) if f −1 (V ) is π-closed (resp. πg-closed, πgp-closed) in (X, τ ) for every closed set V of (Y, σ);…”

“…Recently, Dontchev and Noiri [5] defined the notion of πg-closed sets and used this notion to obtain a characterization and some preservation theorems for quasi normal spaces. More recently, Park [19] has introduced and studied the notion of πgp-closed sets which is implied by that of gpclosed sets and implies that of gpr-closed sets. Park and Park [20] continued the study of πgp-closed sets and associated functions and introduced the concepts of πGP -compactness and πGP -connectedness.…”

“…More recently, Park [19] has introduced and studied the notion of πgp-closed sets which is implied by that of gpclosed sets and implies that of gpr-closed sets. Park and Park [20] continued the study of πgp-closed sets and associated functions and introduced the concepts of πGP -compactness and πGP -connectedness. In this paper, we introduce and study the notion of πgs-closed sets which is implied by that of gs-closed sets.…”