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. & 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. https://doi.org/10.22075/ijnaa.2013.60
MLA
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", 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
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." 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