Open AccessOn Generalized β-Open Sets in Ideal Bitopological Space
Author(s) -
İ̇btissam Bukhatwa,
Sibel Demiralp
Publication year - 2020
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v13i2.3649
Subject(s) - mathematics , ideal (ethics) , counterexample , open set , space (punctuation) , pure mathematics , topological space , discrete mathematics , epistemology , computer science , philosophy , operating system
In this article, we introduce and study the concepts of γij -semi-I-open sets and γij -βI-open sets by generalizing (i, j)-semi-I-open sets and (ij)-βI-open sets, respectively, in ideal bitopological spaces with an operation γ : τ → P(X). Further, we describe and study (γ, δ)ij -semi-I-continuous and (γ, δ)ij -βI-continuous functions in ideal bitopological spaces and their related notions. In addition, various examples and counterexamples are given for answers to some questions raised in this study.