gp alpha Kuratowski's Closure Operators in topological spaces

Abstract

In this paper, we introduce and study topological properties of $gp\alpha$-limit points, $gp\alpha$-derived sets, $gp\alpha$-interior, and $gp\alpha$-closure using the concept of $gp\alpha$-open set. Further, the relationship between these concepts are investigated. Also, Kuratowski's axioms are discussed.

Keywords

• $gp\alpha$-open set, $gp\alpha$-closed set, $gp\alpha$-limit point, $gp\alpha$-derived set, $gp\alpha$-closure, $gp\alpha$-interior points.