{"title":"The stability of additive-quadratic functional equations in paranormed spaces","authors":"Chang Il Kim, C. Kang","doi":"10.12988/ijma.2015.5369","DOIUrl":null,"url":null,"abstract":"In this paper, we prove the generalized Hyers-Ulam stability for the following additive-quadratic functional equation f(2x + y)− f(x + 2y) + f(x− y)− f(y − x)− 3f(x) + 3f(y) = 0 in paranormed spaces by using the fixed point method. Mathematics Subject Classification: 39B52, 39B72, 47H10","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/ijma.2015.5369","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 prove the generalized Hyers-Ulam stability for the following additive-quadratic functional equation f(2x + y)− f(x + 2y) + f(x− y)− f(y − x)− 3f(x) + 3f(y) = 0 in paranormed spaces by using the fixed point method. Mathematics Subject Classification: 39B52, 39B72, 47H10