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

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.

Downloads

Published

2024-09-30

Issue

Section

Mathematics

How to Cite

I-ω^*-Continuous and I-ω^*- Open Functions. (2024). Iraqi Journal of Science, 65(9), 5108-5123. https://doi.org/10.24996/ijs.2024.65.9.26

Similar Articles

1-10 of 1131

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)