The Stability of Bi-Drygas Functional Equation
In this paper, we introduce and solve a system of bi-Drygas functional equations \begin{equation}\left\{\begin{aligned} &f(x+y,z)+f(x-y,z)=2f(x,z)+f(y,z)+f(-y,-z)\nonumber\\ &f(x,y+z)+f(x, y-z)=2f(x,y)+f(x,z)+f(-x,-z)\nonumber\end{aligned}\right.\end{equation}for all $x,y,z\in...
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University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_709134_719b85487a03e0b151d957c2f9ceefd5.pdf |
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| _version_ | 1823859377325473792 |
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| author | Mehdi Dehghanian Sadegh Izadi Yamin Sayyari |
| author_facet | Mehdi Dehghanian Sadegh Izadi Yamin Sayyari |
| author_sort | Mehdi Dehghanian |
| collection | DOAJ |
| description | In this paper, we introduce and solve a system of bi-Drygas functional equations \begin{equation}\left\{\begin{aligned} &f(x+y,z)+f(x-y,z)=2f(x,z)+f(y,z)+f(-y,-z)\nonumber\\ &f(x,y+z)+f(x, y-z)=2f(x,y)+f(x,z)+f(-x,-z)\nonumber\end{aligned}\right.\end{equation}for all $x,y,z\in X$. We will also investigate the Hyers-Ulam stability of the system of bi-Drygas functional equations. |
| format | Article |
| id | doaj-art-162d41eabe034d78816b3ba0b42bdbd3 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-162d41eabe034d78816b3ba0b42bdbd32025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-0121212514510.22130/scma.2023.2000478.1300709134The Stability of Bi-Drygas Functional EquationMehdi Dehghanian0Sadegh Izadi1Yamin Sayyari2Department of Mathematics, Sirjan University of Technology, P.O.Box 7813733385, Sirjan, Iran.Teacher of Mathematics, Fars education, Shiraz, Iran.Department of Mathematics, Sirjan University of Technology, P.O.Box 7813733385, Sirjan, Iran.In this paper, we introduce and solve a system of bi-Drygas functional equations \begin{equation}\left\{\begin{aligned} &f(x+y,z)+f(x-y,z)=2f(x,z)+f(y,z)+f(-y,-z)\nonumber\\ &f(x,y+z)+f(x, y-z)=2f(x,y)+f(x,z)+f(-x,-z)\nonumber\end{aligned}\right.\end{equation}for all $x,y,z\in X$. We will also investigate the Hyers-Ulam stability of the system of bi-Drygas functional equations.https://scma.maragheh.ac.ir/article_709134_719b85487a03e0b151d957c2f9ceefd5.pdfbi-additive mappingbi-drygas functional equationbi-quadratic mappingstability |
| spellingShingle | Mehdi Dehghanian Sadegh Izadi Yamin Sayyari The Stability of Bi-Drygas Functional Equation Sahand Communications in Mathematical Analysis bi-additive mapping bi-drygas functional equation bi-quadratic mapping stability |
| title | The Stability of Bi-Drygas Functional Equation |
| title_full | The Stability of Bi-Drygas Functional Equation |
| title_fullStr | The Stability of Bi-Drygas Functional Equation |
| title_full_unstemmed | The Stability of Bi-Drygas Functional Equation |
| title_short | The Stability of Bi-Drygas Functional Equation |
| title_sort | stability of bi drygas functional equation |
| topic | bi-additive mapping bi-drygas functional equation bi-quadratic mapping stability |
| url | https://scma.maragheh.ac.ir/article_709134_719b85487a03e0b151d957c2f9ceefd5.pdf |
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