Geodesic
Stability of Cauchy-Jensen Type Functional Equation in $(2,\alpha)$-Banach Spaces
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 6, p. 905

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation $ feft(\frac{x+y}{2}\right)+feft(\frac{x-y}{2}\right)=f(x) $ in $(2,\alpha)$-Banach spaces using Brzdȩk and Ciepliński's fixed point approach.
Classification : 39B82, 39B52, 47H10
Keywords: Stability, hyperstability, $(2;\alpha)$-Banach space, Cauchy-Jensen functional equation 
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     author = {Khaled Yahya Naif Sayar and Amal Bergam},
     title = {Stability of {Cauchy-Jensen} {Type} {Functional} {Equation} in $(2,\alpha)${-Banach} {Spaces}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {905 },
     publisher = {mathdoc},
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     number = {6},
     year = {2022},
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Khaled Yahya Naif Sayar; Amal Bergam. Stability of Cauchy-Jensen Type Functional Equation in $(2,\alpha)$-Banach Spaces. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 6, p. 905 . http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a5/