A Pexider system of additive functional equations in Banach algebras
Abstract In this paper, we solve the system of functional equations { f ( x + y ) + g ( y − x ) = 2 f ( x ) , g ( x + y ) − f ( y − x ) = 2 g ( y ) $$\begin{aligned} \textstyle\begin{cases} f(x+y)+g(y-x)=2f(x), \\ g(x+y)-f(y-x)=2g(y) \end{cases}\displaystyle \end{aligned}$$ and we investigate the st...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-024-03104-6 |
| _version_ | 1797272810778787840 |
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| author | Mehdi Dehghanian Yamin Sayyari Siriluk Donganont Choonkil Park |
| author_facet | Mehdi Dehghanian Yamin Sayyari Siriluk Donganont Choonkil Park |
| author_sort | Mehdi Dehghanian |
| collection | DOAJ |
| description | Abstract In this paper, we solve the system of functional equations { f ( x + y ) + g ( y − x ) = 2 f ( x ) , g ( x + y ) − f ( y − x ) = 2 g ( y ) $$\begin{aligned} \textstyle\begin{cases} f(x+y)+g(y-x)=2f(x), \\ g(x+y)-f(y-x)=2g(y) \end{cases}\displaystyle \end{aligned}$$ and we investigate the stability of g-derivations in Banach algebras. |
| first_indexed | 2024-03-07T14:35:02Z |
| format | Article |
| id | doaj.art-35136e478b8b4ff5b20eb22210bf13c4 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-03-07T14:35:02Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-35136e478b8b4ff5b20eb22210bf13c42024-03-05T20:41:39ZengSpringerOpenJournal of Inequalities and Applications1029-242X2024-02-01202411910.1186/s13660-024-03104-6A Pexider system of additive functional equations in Banach algebrasMehdi Dehghanian0Yamin Sayyari1Siriluk Donganont2Choonkil Park3Department of Mathematics, Sirjan University of TechnologyDepartment of Mathematics, Sirjan University of TechnologySchool of Science, University of PhayaoResearch Institute for Convergence of Basic Science, Hanyang UniversityAbstract In this paper, we solve the system of functional equations { f ( x + y ) + g ( y − x ) = 2 f ( x ) , g ( x + y ) − f ( y − x ) = 2 g ( y ) $$\begin{aligned} \textstyle\begin{cases} f(x+y)+g(y-x)=2f(x), \\ g(x+y)-f(y-x)=2g(y) \end{cases}\displaystyle \end{aligned}$$ and we investigate the stability of g-derivations in Banach algebras.https://doi.org/10.1186/s13660-024-03104-6Hyers–Ulam stabilityg-derivationAdditive mappingFixed point methodSystem of functional equations |
| spellingShingle | Mehdi Dehghanian Yamin Sayyari Siriluk Donganont Choonkil Park A Pexider system of additive functional equations in Banach algebras Journal of Inequalities and Applications Hyers–Ulam stability g-derivation Additive mapping Fixed point method System of functional equations |
| title | A Pexider system of additive functional equations in Banach algebras |
| title_full | A Pexider system of additive functional equations in Banach algebras |
| title_fullStr | A Pexider system of additive functional equations in Banach algebras |
| title_full_unstemmed | A Pexider system of additive functional equations in Banach algebras |
| title_short | A Pexider system of additive functional equations in Banach algebras |
| title_sort | pexider system of additive functional equations in banach algebras |
| topic | Hyers–Ulam stability g-derivation Additive mapping Fixed point method System of functional equations |
| url | https://doi.org/10.1186/s13660-024-03104-6 |
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