Manuscript Title:

PAIRWISE 𝐃𝛂 −OPEN AND 𝐃𝛂 −CLOSED FUNCTIONS IN BITOPOLOGICAL SPACES

Author:

EMAN ALMUHUR, HAMZA QOQAZEH, ALI ATOOM, NABEELA ABU-ALKISHIK

DOI Number:

DOI:10.17605/OSF.IO/R8KH6

Published : 2023-05-10

About the author(s)

1. EMAN ALMUHUR - Assistant Professor, Department of Basic Science and Humanities, Applied Science Private University, Amman, Amman, Jordan.
2. HAMZA QOQAZEH - Assistant Professor, Department of Mathematics, Amman Arab University, Amman, Jordan.
3. ALI ATOOM - Assistant Professor, Department of Mathematics, Amman Arab University, Amman, Jordan.
4. NABEELA ABU-ALKISHIK - Assistant Professor, Department of Mathematics, Jerash University, Jarash, Jordan.

Full Text : PDF

Abstract

Dα −Open Sets That Are Introduced And Analyzed In Topological Spaces By Sayed O.R And Khalil A.M [1] Are Precisely Between The Class Of All Α −Open Sets And G −Open Sets. In This Paper, We Introduce The Concepts Of DΑ −Open And DΑ −Closed Functions In Bitopological Spaces. We Studied When The Graph G(F) Is P −Strongly Closed And P− DΑ −Closed Subsets Of The Bitopological Space (X, Τ₁, Τ₂). In Addition, We Define DΑ I −Interior Of A Subset A Of X And DΑ I −Closure And Prove Some Theorems Concerning These Concepts.


Keywords

P −DΑ −Continuous Function, P − DΑ −Graph, P − DΑ −Open Set.