Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations
Consider $Y$ as a real Hausdorff topological vector space and $(G,+)$ as a Abelian group uniquely divisible by 2. In this paper, the solutions and stability of the Pexiderized set-valued functional equations\begin{align*} f(x+y)+f(x-y)+g(x+y)&=2f(x)+f(y)+f(-y)+g(x)\\ & \quad +g(y), \...
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University of Maragheh
2025-01-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_718213_9441bbb4217e2899c9e4d9aa9dec391c.pdf |
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| author | Elham Mohammadi Abbas Najati Iz-iddine EL-Fassi |
| author_facet | Elham Mohammadi Abbas Najati Iz-iddine EL-Fassi |
| author_sort | Elham Mohammadi |
| collection | DOAJ |
| description | Consider $Y$ as a real Hausdorff topological vector space and $(G,+)$ as a Abelian group uniquely divisible by 2. In this paper, the solutions and stability of the Pexiderized set-valued functional equations\begin{align*} f(x+y)+f(x-y)+g(x+y)&=2f(x)+f(y)+f(-y)+g(x)\\ & \quad +g(y), \\ f(x+y)+f(x-y)+g(x+y)&=2f(x)+2f(y)+g(x)+g(y),\end{align*}are investigated, where $f$ and $g$ are unknown functions from $G$ to $cc(Y)$. |
| format | Article |
| id | doaj-art-7d2cf120cb7e48b482ce539b52e59ad4 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-7d2cf120cb7e48b482ce539b52e59ad42025-02-11T05:28:01ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002025-01-0122116317310.22130/scma.2024.2041445.1894718213Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional EquationsElham Mohammadi0Abbas Najati1Iz-iddine EL-Fassi2Department of Mathematics, Faculty of Science, University of Mohaghegh Ardabili, P.O.Box 179, Ardabil, Iran.Department of Mathematics, Faculty of Science, University of Mohaghegh Ardabili, P.O.Box 179, Ardabil, Iran.Department of Mathematics, Faculty of Sciences and Techniques, S. M. Ben Abdellah University, B.P. 2202, Fez, Morocco.Consider $Y$ as a real Hausdorff topological vector space and $(G,+)$ as a Abelian group uniquely divisible by 2. In this paper, the solutions and stability of the Pexiderized set-valued functional equations\begin{align*} f(x+y)+f(x-y)+g(x+y)&=2f(x)+f(y)+f(-y)+g(x)\\ & \quad +g(y), \\ f(x+y)+f(x-y)+g(x+y)&=2f(x)+2f(y)+g(x)+g(y),\end{align*}are investigated, where $f$ and $g$ are unknown functions from $G$ to $cc(Y)$.https://scma.maragheh.ac.ir/article_718213_9441bbb4217e2899c9e4d9aa9dec391c.pdfset-valued functionquadratic functiondrygas functionhukuhara difference |
| spellingShingle | Elham Mohammadi Abbas Najati Iz-iddine EL-Fassi Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations Sahand Communications in Mathematical Analysis set-valued function quadratic function drygas function hukuhara difference |
| title | Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations |
| title_full | Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations |
| title_fullStr | Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations |
| title_full_unstemmed | Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations |
| title_short | Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations |
| title_sort | alienation of the set valued drygas additive and quadratic additive functional equations |
| topic | set-valued function quadratic function drygas function hukuhara difference |
| url | https://scma.maragheh.ac.ir/article_718213_9441bbb4217e2899c9e4d9aa9dec391c.pdf |
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