Stability of functional equations has recent applications in many fields. We show that the stability results obtained by J. Brzd ˛ek and concerning the functional equation of the p-Wright affine function: f(px1 + (1 − p)x2) + f((1 − p)x1 + px2) = f(x1) + f(x2), can be proved also in (2,α)-Banach spaces, for some real number α ∈ (0, 1). This is done using some fixed-point theorem.
El-hady, E. (2019). On stability of the functional equation of p-Wright affine functions in (2,α)-Banach spaces. Journal of the Egyptian Mathematical Society, 27(1), 1-9. doi: 10.1186/s42787-019-0024-y
MLA
El-sayed El-hady. "On stability of the functional equation of p-Wright affine functions in (2,α)-Banach spaces", Journal of the Egyptian Mathematical Society, 27, 1, 2019, 1-9. doi: 10.1186/s42787-019-0024-y
HARVARD
El-hady, E. (2019). 'On stability of the functional equation of p-Wright affine functions in (2,α)-Banach spaces', Journal of the Egyptian Mathematical Society, 27(1), pp. 1-9. doi: 10.1186/s42787-019-0024-y
VANCOUVER
El-hady, E. On stability of the functional equation of p-Wright affine functions in (2,α)-Banach spaces. Journal of the Egyptian Mathematical Society, 2019; 27(1): 1-9. doi: 10.1186/s42787-019-0024-y
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