Applications of some modified open sets in r-neighbourhood spaces with ideals

Tharmar S.; Nagarajan A.; Rajesh E.; Thanigasalam T.; Senthilkumar R.

doi:10.1051/e3sconf/202337601111

E3S Web of Conferences (Jan 2023)

Applications of some modified open sets in r-neighbourhood spaces with ideals

Tharmar S.,
Nagarajan A.,
Rajesh E.,
Thanigasalam T.,
Senthilkumar R.

Affiliations

Tharmar S.: Department of Mathematics, Mohamed Sathak Engineering College
Nagarajan A.: Department of Mathematics, PSNA College of Engineering and Technology
Rajesh E.: School of Computing Sciences, Galgotias University
Thanigasalam T.: Prince Dr K. Vasudevan College of Engineering and Technology
Senthilkumar R.: Department of Mathematics, Mohamed Sathak Engineering College

DOI: https://doi.org/10.1051/e3sconf/202337601111
Journal volume & issue: Vol. 376
p. 01111

Abstract

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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.

Published in E3S Web of Conferences

ISSN: 2267-1242 (Online)
Publisher: EDP Sciences
Country of publisher: France
LCC subjects: Geography. Anthropology. Recreation: Environmental sciences
Website: http://www.e3s-conferences.org/

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