On grill Sβ-open set in grill topological spaces

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dc.contributor.authorKalaivani, Nagarajan
dc.contributor.authorRahman, Khaleel Fayaz Ur
dc.contributor.authorČepová, Lenka
dc.contributor.authorČep, Robert
dc.date.accessioned2023-02-17T09:49:56Z
dc.date.available2023-02-17T09:49:56Z
dc.date.issued2022
dc.description.abstractIn this article we originate a new class of Grill Set, namely GS(beta)-Open Set, which is parallel to the beta Open Set in Grill Topological Space (X, theta, G). In addition, we entitle GS(beta)-continuous and GS(beta)-open functions by applying a GS(beta)-Open Set and we review some of its important properties. Many examples are given to explain the concept lucidly. The properties of GS(beta) open sets are investigated and studied. The theorems based on the arbitrary union and finite intersections are discussed with counter examples. Moreover, some operators like GS(beta) - closure and GS(beta) - interior are introduced and investigated. The concept of GS(beta) - continuous functions are compared with the idea of G - Semi Continuous function. The theorems based on GS(beta) - continunity have been proved.cs
dc.description.firstpageart. no. 4626cs
dc.description.issue23cs
dc.description.sourceWeb of Sciencecs
dc.description.volume10cs
dc.identifier.citationMathematics. 2022, vol. 10, issue 23, art. no. 4626.cs
dc.identifier.doi10.3390/math10234626
dc.identifier.issn2227-7390
dc.identifier.urihttp://hdl.handle.net/10084/149118
dc.identifier.wos000898023100001
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofseriesMathematicscs
dc.relation.urihttps://doi.org/10.3390/math10234626cs
dc.rights© 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.cs
dc.rights.accessopenAccesscs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectGSβ-open setscs
dc.subjectGSβO(X)cs
dc.subjectGSβ-continuous functioncs
dc.subjectGSβ-open functioncs
dc.titleOn grill Sβ-open set in grill topological spacescs
dc.typearticlecs
dc.type.statusPeer-reviewedcs
dc.type.versionpublishedVersioncs

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