{"title":"非阿基米德巴拿赫空间和复巴拿赫空间中具有三变量的Hyers-Ulam稳定性加性β-泛函不等式","authors":"L. An","doi":"10.12988/ijma.2020.91169","DOIUrl":null,"url":null,"abstract":"In this paper we solve additive β-functional inequalities with three variables and their Hyers-Ulam stability in nonArchimedean Banach spaces as well as in complex Banach spaces. It is shown that the solutions of first and second inequalities are additive mappings. Then Hyers-Ulam stability of these inequalities is studied and proven.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Hyers-Ulam stability additive β-functional inequalities with three variables in non-Archimedean Banach space and complex Banach spaces\",\"authors\":\"L. An\",\"doi\":\"10.12988/ijma.2020.91169\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we solve additive β-functional inequalities with three variables and their Hyers-Ulam stability in nonArchimedean Banach spaces as well as in complex Banach spaces. It is shown that the solutions of first and second inequalities are additive mappings. Then Hyers-Ulam stability of these inequalities is studied and proven.\",\"PeriodicalId\":431531,\"journal\":{\"name\":\"International Journal of Mathematical Analysis\",\"volume\":\"15 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.2020.91169\",\"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.2020.91169","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hyers-Ulam stability additive β-functional inequalities with three variables in non-Archimedean Banach space and complex Banach spaces
In this paper we solve additive β-functional inequalities with three variables and their Hyers-Ulam stability in nonArchimedean Banach spaces as well as in complex Banach spaces. It is shown that the solutions of first and second inequalities are additive mappings. Then Hyers-Ulam stability of these inequalities is studied and proven.
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