E3S Web Conf.
Volume 376, 2023International Scientific and Practical Conference “Environmental Risks and Safety in Mechanical Engineering” (ERSME-2023)
|Number of page(s)||6|
|Section||I Environmental Risks and Safety in Mechanical Engineering|
|Published online||31 March 2023|
Applications of some modified open sets in r-neighbourhood spaces with ideals
1 Department of Mathematics, Mohamed Sathak Engineering College, Kilakarai, Tamil Nadu, India
2 Department of Mathematics, PSNA College of Engineering and Technology Dindigul - 624 622
3 School of Computing Sciences, Galgotias University, Greater Noida
4 Prince Dr K. Vasudevan College of Engineering and Technology, Chennai - 127
* Corresponding author: email@example.com
The purpose of this paper is to introduce r-a-open sets, r-semi open sets and r-pre open sets in ideal r-neighbourhood space. We also discuss their properties, characterizations and relations with existing notions with suitable examples. Then we develop this paper towards rlimit points and r-interior points in ideal r-neighbourhood space and obtain nice results. 2010 Mathematics Subject Classification. Primary 03E99; Secondary 54A05, 54A10.
Key words: r-α-open sets / r-semi open sets / r-pre open sets / r-limit point
© The Authors, published by EDP Sciences, 2023
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