{"title":"Extended Nb-cone metric spaces over Banach algebra with an application","authors":"Jerolina Fernandez, Neeraj Malviya, Santosh Kumar","doi":"10.1515/taa-2022-0116","DOIUrl":null,"url":null,"abstract":"Abstract In this manuscript, we present a new notion which is named as extended Nb-cone metric space over Banach algebra and investigate some fixed point results in the new setting. In order to examine the validity of the underlying space we gave an application for existence and uniqueness of solution for a system of Fredholm integral equation. At last, we present some interesting examples to illustrate our work.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"94 - 102"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Algebra and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/taa-2022-0116","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
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Abstract
Abstract In this manuscript, we present a new notion which is named as extended Nb-cone metric space over Banach algebra and investigate some fixed point results in the new setting. In order to examine the validity of the underlying space we gave an application for existence and uniqueness of solution for a system of Fredholm integral equation. At last, we present some interesting examples to illustrate our work.
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