{"title":"Banach代数上的扩展Nb锥度量空间及其应用","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":"{\"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}","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}
Extended Nb-cone metric spaces over Banach algebra with an application
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.