I-ω^*-Continuous and I-ω^*- Open Functions

Nawroz O.  Hessean; Halgwrd M.  Darwesh; Sarhad F.  Namiq

doi:10.24996/ijs.2024.65.9.26

Authors

Nawroz O. Hessean Kurdistan Institution for Strategic Studies and Scientific Research (KISSR), Sulaimani ,Iraq
Halgwrd M. Darwesh Department of Mathematics, College of Science, University of Sulaimani, Sulaimani, Iraq
Sarhad F. Namiq Mathematics Department, College of Education, University of Garmian, Kalar Sulaimani, Iraq

DOI:

https://doi.org/10.24996/ijs.2024.65.9.26

Keywords:

Ideal topological space, I-ω^*-open set, ω-continuous function, I-ω^*-continuous function, I-ω^*-open function

Abstract

In ideal topological space, we define and study a new class of functions known as I-ω^*-continuous functions by using I-ω^*-open sets. This idea is stronger than each of the classes (ω-continuous, ωb-continous, α-I_ω-continuous, pre-I_ω-continuous, β-I_ω-continuous, faintly- ω-continuous, slightly- ω-continuous, 〖 I〗_ω-c-continuous). Furthermore, relationships between this class and other relevant classes of functions are investigated, and some characterizations of this new class of functions are studied. Finally, we introduce the I-ω^*- open function as an extension of the ω- open function through I-ω^*-open sets, and some results are provided.