{"title":"副形空间中加性二次泛函方程的稳定性","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":"{\"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}","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}
The stability of additive-quadratic functional equations in paranormed spaces
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
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
