{"title":"$mathcal{I}$-convergence in Fuzzy Cone Normed Spaces","authors":"A. C. Guler","doi":"10.22130/SCMA.2021.526111.916","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to define and study the concept of $mathcal{I}$-convergence in fuzzy cone normed space which is a generalization of R. Saadati and S. M. Vaezpour type fuzzy normal space. We also obtained some basic properties of $mathcal{I}$-convergence. In fuzzy cone normed space, $mathcal{I}$-limit point and $mathcal{I}$-cluster point were defined and studied.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22130/SCMA.2021.526111.916","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
The aim of this paper is to define and study the concept of $mathcal{I}$-convergence in fuzzy cone normed space which is a generalization of R. Saadati and S. M. Vaezpour type fuzzy normal space. We also obtained some basic properties of $mathcal{I}$-convergence. In fuzzy cone normed space, $mathcal{I}$-limit point and $mathcal{I}$-cluster point were defined and studied.
本文的目的是定义和研究模糊锥赋范空间中$mathcal{I}$-收敛的概念,它是R. Saadati和S. M. Vaezpour型模糊正规空间的推广。我们还得到了$mathcal{I}$-收敛的一些基本性质。在模糊锥赋范空间中,定义并研究了$mathcal{I}$-极限点和$mathcal{I}$-聚类点。