ω_p-Open and ω_p-Closed Functions

Abstract

In this 𝑤𝑜𝑟𝑘, we study and define two new concepts of functions named ω_p–οpen and ω_p–ϲlosed functions by using the concepts of ω_p-οpen and ω_p-ϲ𝑙𝑜𝑠𝑒𝑑 sets. The concept of ω_p-οpen function strictly located between both the concepts of οpen and preοpen functions. We obtain a few properties of these functions, however, the connections between them are examined.