A fixed point approach to the Hyers-Ulam stability of an AQ functional equation in probabilistic modular spaces

In this paper, we prove the Hyers-Ulam stability in\beta-homogeneous probabilistic modular spaces via fixed point method for the functional equation\[f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+\frac{۲(k+۱)}{k}f(ky)-۲(k+۱)f(y)\]for fixed integers k with k\neq ۰,\pm۱.

کلیدواژه ها:

Hyers-Ulam stability ، AQ functional Equation ، Fixed point ، Probabilistic Modular Space