In this paper, we prove the Hyers-Ulam stability in $\beta$-homogeneous probabilistic modular spaces via fixed point method for the functional equation \[ f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+\frac{2(k+1)}{k}f(ky)-2(k+1)f(y) \] for fixed integers $k$ with $k\neq 0,\pm1.$
Zolfaghari,S , Ebadian,A , Ostadbashi,S , De La Sen,M and Eshaghi Gordji,M . (2013). A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces. International Journal of Nonlinear Analysis and Applications, 4(2), 89-101. doi: 10.22075/ijnaa.2013.60
MLA
Zolfaghari,S , , Ebadian,A , , Ostadbashi,S , , De La Sen,M , and Eshaghi Gordji,M . "A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces", International Journal of Nonlinear Analysis and Applications, 4, 2, 2013, 89-101. doi: 10.22075/ijnaa.2013.60
HARVARD
Zolfaghari S, Ebadian A, Ostadbashi S, De La Sen M, Eshaghi Gordji M. (2013). 'A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces', International Journal of Nonlinear Analysis and Applications, 4(2), pp. 89-101. doi: 10.22075/ijnaa.2013.60
CHICAGO
S Zolfaghari, A Ebadian, S Ostadbashi, M De La Sen and M Eshaghi Gordji, "A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces," International Journal of Nonlinear Analysis and Applications, 4 2 (2013): 89-101, doi: 10.22075/ijnaa.2013.60
VANCOUVER
Zolfaghari S, Ebadian A, Ostadbashi S, De La Sen M, Eshaghi Gordji M. A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces. IJNAA. 2013;4(2):89-101. doi: 10.22075/ijnaa.2013.60
International Journal of Nonlinear Analysis and Applications