{"title":"Brzdek不动点定理在Drygas泛函方程稳定性问题中的应用","authors":"MEHDI DEHGHANIAN, YAMIN SAYYARI","doi":"10.55730/1300-0098.3462","DOIUrl":null,"url":null,"abstract":"Using the Brzdek fixed point theorem, we establish the Hyers?Ulam stability problem of Drygas functional equations \\begin{equation} \\delta(x+y-z)+\\delta(x-y)+\\delta(-y-z)+\\delta(y)=\\delta(x-y-z)+\\delta(y-z)+\\delta(x+y)+\\delta(-y)\\nonumber \\end{equation} for all $x,y,z\\in A$.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The application of Brzdek's fixed point theorem in the stability problem of the Drygas functional equation\",\"authors\":\"MEHDI DEHGHANIAN, YAMIN SAYYARI\",\"doi\":\"10.55730/1300-0098.3462\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using the Brzdek fixed point theorem, we establish the Hyers?Ulam stability problem of Drygas functional equations \\\\begin{equation} \\\\delta(x+y-z)+\\\\delta(x-y)+\\\\delta(-y-z)+\\\\delta(y)=\\\\delta(x-y-z)+\\\\delta(y-z)+\\\\delta(x+y)+\\\\delta(-y)\\\\nonumber \\\\end{equation} for all $x,y,z\\\\in A$.\",\"PeriodicalId\":51206,\"journal\":{\"name\":\"Turkish Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-09-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Turkish Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.55730/1300-0098.3462\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Turkish Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55730/1300-0098.3462","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
The application of Brzdek's fixed point theorem in the stability problem of the Drygas functional equation
Using the Brzdek fixed point theorem, we establish the Hyers?Ulam stability problem of Drygas functional equations \begin{equation} \delta(x+y-z)+\delta(x-y)+\delta(-y-z)+\delta(y)=\delta(x-y-z)+\delta(y-z)+\delta(x+y)+\delta(-y)\nonumber \end{equation} for all $x,y,z\in A$.
期刊介绍:
The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research
Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics.
Contribution is open to researchers of all nationalities.