Geodesic
On a Generalized Drygas Functional Equation and its Approximate Solutions in $2$-Banach Spaces
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 5, p. 801 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper, we introduce and solve the following generalized Drygas functional equation $ f(x+ky)+f(x-ky)=2f(x)+k^{2}f(y)+k^{2}f(-y), $ where $k\in \mathbb{N}$. Also, we discuss some stability and hyperstability results for the considered equation in $2$-Banach spaces by using the fixed point approach.
Classification : 39B52 54E50, 39B8, 47H10
Keywords: stability, hyperstability, Drygas functional equation, fixed point method, $2$-Banach space 
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     author = {Mustapha Esseghyr Hryrou and Samir Kabbaj},
     title = {On a {Generalized} {Drygas} {Functional} {Equation} and its {Approximate} {Solutions} in $2${-Banach} {Spaces}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {801 },
     year = {2023},
     volume = {47},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2023_47_5_a9/}
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Mustapha Esseghyr Hryrou; Samir Kabbaj. On a Generalized Drygas Functional Equation and its Approximate Solutions in $2$-Banach Spaces. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 5, p. 801 . http://geodesic.mathdoc.fr/item/KJM_2023_47_5_a9/