准规范空间中加法函数方程的不稳定性与稳定性

IF 0.7 Q2 MATHEMATICS International Journal of Analysis and Applications Pub Date : 2024-01-03 DOI:10.28924/2291-8639-22-2024-3

S. Karthikeyan, J. Venkatesan, N. Vijaya, G. Chitra, G. Ganapathy

{"title":"准规范空间中加法函数方程的不稳定性与稳定性","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":"{\"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}","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

摘要

在本文中，我们利用直接法和定点法求解了向量空间中的一般解，并证明了准规范空间中下列加法函数方程的 Hyers-Ulam 稳定性。此外，我们还提出了其不稳定性的相关反例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Instabilities and Stabilities of Additive Functional Equation in Paranormed Spaces

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊