A system of additive functional equations in complex Banach algebras
In this article, we solve the system of additive functional equations: 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+y)-2f(y-x)=4f\left(x)\end{array}\right. and prove the Hyers-Ulam stability of the system of addit...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-02-01
|
| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2022-0165 |
| _version_ | 1811159455393382400 |
|---|---|
| author | Paokanta Siriluk Dehghanian Mehdi Park Choonkil Sayyari Yamin |
| author_facet | Paokanta Siriluk Dehghanian Mehdi Park Choonkil Sayyari Yamin |
| author_sort | Paokanta Siriluk |
| collection | DOAJ |
| description | In this article, we solve the system of additive functional equations: 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+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 ff-hom-ders in Banach algebras. |
| first_indexed | 2024-04-10T05:41:24Z |
| format | Article |
| id | doaj.art-c72ec4193d384696b5883a71b6971157 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-04-10T05:41:24Z |
| publishDate | 2023-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-c72ec4193d384696b5883a71b69711572023-03-06T10:24:53ZengDe GruyterDemonstratio Mathematica2391-46612023-02-015613319332710.1515/dema-2022-0165A system of additive functional equations in complex Banach algebrasPaokanta Siriluk0Dehghanian Mehdi1Park Choonkil2Sayyari Yamin3School of Science, University of Phayao, Phayao 56000, ThailandDepartment of Mathematics, Sirjan University of Technology, Sirjan, IranDepartment of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, KoreaDepartment of Mathematics, Sirjan University of Technology, Sirjan, IranIn this article, we solve the system of additive functional equations: 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+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 ff-hom-ders in Banach algebras.https://doi.org/10.1515/dema-2022-0165additive mappingf-hom-derfixed point methodhyers-ulam stabilitysystem of additive functional equations47b4717b4039b7247h10 |
| spellingShingle | Paokanta Siriluk Dehghanian Mehdi Park Choonkil Sayyari Yamin A system of additive functional equations in complex Banach algebras Demonstratio Mathematica additive mapping f-hom-der fixed point method hyers-ulam stability system of additive functional equations 47b47 17b40 39b72 47h10 |
| title | A system of additive functional equations in complex Banach algebras |
| title_full | A system of additive functional equations in complex Banach algebras |
| title_fullStr | A system of additive functional equations in complex Banach algebras |
| title_full_unstemmed | A system of additive functional equations in complex Banach algebras |
| title_short | A system of additive functional equations in complex Banach algebras |
| title_sort | system of additive functional equations in complex banach algebras |
| topic | additive mapping f-hom-der fixed point method hyers-ulam stability system of additive functional equations 47b47 17b40 39b72 47h10 |
| url | https://doi.org/10.1515/dema-2022-0165 |
| work_keys_str_mv | AT paokantasiriluk asystemofadditivefunctionalequationsincomplexbanachalgebras AT dehghanianmehdi asystemofadditivefunctionalequationsincomplexbanachalgebras AT parkchoonkil asystemofadditivefunctionalequationsincomplexbanachalgebras AT sayyariyamin asystemofadditivefunctionalequationsincomplexbanachalgebras AT paokantasiriluk systemofadditivefunctionalequationsincomplexbanachalgebras AT dehghanianmehdi systemofadditivefunctionalequationsincomplexbanachalgebras AT parkchoonkil systemofadditivefunctionalequationsincomplexbanachalgebras AT sayyariyamin systemofadditivefunctionalequationsincomplexbanachalgebras |