{"title":"Soft interval spaces and soft interval sequence spaces","authors":"Hacer Bozkurt","doi":"10.2298/fil2309647b","DOIUrl":null,"url":null,"abstract":"In this article, we present the two new kinds of examples of soft quasilinear spaces namely ?gIRn soft interval space? and ?eIs, eIl2, fIl? and fIc0 soft interval sequence spaces?. We give some properties of these spaces. We study completeness of gIRn soft normed quasilinear spaces. Further, we obtain some results on these soft interval spaces and soft interval sequence spaces related to concepts of soft quasilinear dependence-independence and solid-floored.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Filomat","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/fil2309647b","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In this article, we present the two new kinds of examples of soft quasilinear spaces namely ?gIRn soft interval space? and ?eIs, eIl2, fIl? and fIc0 soft interval sequence spaces?. We give some properties of these spaces. We study completeness of gIRn soft normed quasilinear spaces. Further, we obtain some results on these soft interval spaces and soft interval sequence spaces related to concepts of soft quasilinear dependence-independence and solid-floored.
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