{"title":"I-convergence of sequences in metric-like spaces","authors":"Prasanta Malik, Saikat Das","doi":"arxiv-2408.13264","DOIUrl":null,"url":null,"abstract":"In this paper we introduce and study the notion of I-convergence of sequences\nin a metric-like space, where I is an ideal of subsets of the set N of all\nnatural numbers. Further introducing the notion of I*-convergence of sequences\nin a metric-like space we study its relationship with I-convergence.","PeriodicalId":501314,"journal":{"name":"arXiv - MATH - General Topology","volume":"21 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.13264","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we introduce and study the notion of I-convergence of sequences
in a metric-like space, where I is an ideal of subsets of the set N of all
natural numbers. Further introducing the notion of I*-convergence of sequences
in a metric-like space we study its relationship with I-convergence.
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