复Banach代数中的一个可加函数方程组

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2023-01-01 DOI:10.1515/dema-2022-0165

Siriluk Paokanta, Mehdi Dehghanian, Choonkil Park, Y. Sayyari

{"title":"复Banach代数中的一个可加函数方程组","authors":"Siriluk Paokanta, Mehdi Dehghanian, Choonkil Park, Y. Sayyari","doi":"10.1515/dema-2022-0165","DOIUrl":null,"url":null,"abstract":"Abstract In this article, we solve the system of additive functional equations: 2 f ( x + y ) − g ( x ) = g ( y ) , g ( x + y ) − 2 f ( y − x ) = 4 f ( x ) \\left\\{\\phantom{\\rule[-1.25em]{}{0ex}}\\begin{array}{l}2f\\left(x+y)-g\\left(x)=g(y),\\\\ g\\left(x+y)-2f(y-x)=4f\\left(x)\\end{array}\\right. and prove the Hyers-Ulam stability of the system of additive functional equations in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of f f -hom-ders in Banach algebras.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A system of additive functional equations in complex Banach algebras\",\"authors\":\"Siriluk Paokanta, Mehdi Dehghanian, Choonkil Park, Y. Sayyari\",\"doi\":\"10.1515/dema-2022-0165\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this article, we solve the system of additive functional equations: 2 f ( x + y ) − g ( x ) = g ( y ) , g ( x + y ) − 2 f ( y − x ) = 4 f ( x ) \\\\left\\\\{\\\\phantom{\\\\rule[-1.25em]{}{0ex}}\\\\begin{array}{l}2f\\\\left(x+y)-g\\\\left(x)=g(y),\\\\\\\\ g\\\\left(x+y)-2f(y-x)=4f\\\\left(x)\\\\end{array}\\\\right. and prove the Hyers-Ulam stability of the system of additive functional equations in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of f f -hom-ders in Banach algebras.\",\"PeriodicalId\":10995,\"journal\":{\"name\":\"Demonstratio Mathematica\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":2.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Demonstratio Mathematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/dema-2022-0165\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Demonstratio Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/dema-2022-0165","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 2

摘要

摘要在本文中，我们求解了加性函数方程组：2f（x+y）−g（x）=g（y），g（x+y）−2f（y−x）=4f（x）\left｛\phantom｛\rule[-1.25em]｛｝｛0ex｝｝\ begin｛array｝{l}2f\left（x+y）-g\left（x）=g（y），\\g\left（x+p）-2f（y-x）=4f\left（x）\end｛array｝\right。并证明了复Banach空间中可加函数方程组的Hyers-Ulam稳定性。此外，我们还证明了Banach代数中f-hom-ders的Hyers-Ulam稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A system of additive functional equations in complex Banach algebras

Abstract In this article, we solve the system of additive functional equations: 2 f ( x + y ) − g ( x ) = g ( y ) , g ( x + y ) − 2 f ( y − x ) = 4 f ( x ) \left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}2f\left(x+y)-g\left(x)=g(y),\\ g\left(x+y)-2f(y-x)=4f\left(x)\end{array}\right. and prove the Hyers-Ulam stability of the system of additive functional equations in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of f f -hom-ders in Banach algebras.

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

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.