Stability of Cauchy-Jensen Type Functional Equation in $(2,\alpha)$-Banach Spaces


Khaled Yahya Naif Sayar, Amal Bergam




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.