S. Karthikeyan, J. Venkatesan, N. Vijaya, G. Chitra, G. Ganapathy
{"title":"Instabilities and Stabilities of Additive Functional Equation in Paranormed Spaces","authors":"S. Karthikeyan, J. Venkatesan, N. Vijaya, G. Chitra, G. Ganapathy","doi":"10.28924/2291-8639-22-2024-3","DOIUrl":null,"url":null,"abstract":"In this paper, we solve the general solution in vector space and prove the Hyers-Ulam stability of the following additive functional equationin paranormed spaces by using the direct and fixed point methods. Also we present its pertinent counter examples for instabilities.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"51 5","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28924/2291-8639-22-2024-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we solve the general solution in vector space and prove the Hyers-Ulam stability of the following additive functional equationin paranormed spaces by using the direct and fixed point methods. Also we present its pertinent counter examples for instabilities.