{"title":"Stability of Cauchy-Jensen Type Functional Equation in (2, α)–Banach Spaces","authors":"K. Y. N. Sayar, A. Bergam","doi":"10.46793/kgjmat2206.905s","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation fx+y 2+fx−y 2=f(x) in (2,α)-Banach spaces using Brzd¸ek and Ciepliński’s fixed point approach.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kragujevac Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46793/kgjmat2206.905s","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation fx+y 2+fx−y 2=f(x) in (2,α)-Banach spaces using Brzd¸ek and Ciepliński’s fixed point approach.