Soft topological approaches via soft γ-open sets

Samirah Alzahrani; A. A. Nasef; N. Youns; A. I. EL-Maghrabi; M. S. Badr

doi:10.3934/math.2022675

AIMS Mathematics (Apr 2022)

Soft topological approaches via soft γ-open sets

Samirah Alzahrani ,
A. A. Nasef,
N. Youns,
A. I. EL-Maghrabi,
M. S. Badr

Affiliations

Samirah Alzahrani: 1. Department of Mathematics and Statistics, college of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
A. A. Nasef: 2. Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh, Egypt
N. Youns: 3. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelseikh, Egypt
A. I. EL-Maghrabi: 3. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelseikh, Egypt
M. S. Badr: 4. Department of Mathematics, Faculty of Science, New Valley University, El Kharga, Egypt

DOI: https://doi.org/10.3934/math.2022675
Journal volume & issue: Vol. 7, no. 7
pp. 12144 – 12153

Abstract

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The purpose of this research is to present, study, and prove numerous features of soft γ-open (Sγo) and soft γ-closed (Sγc) sets in soft topological structure (Sτs). Also, we show that the collection of Sγo sets is a soft supra topology (Ssτ) by stating and proving the conditions. Finally, we study soft γ-continuous functions and soft γ-irresolute functions. Some related properties of these new soft of discussed with help of some examples.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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