On Ulam's Type Stability of the Cauchy Additive Equation

On Ulam's Type Stability of the Cauchy Additive Equation

We prove a general result on Ulam's type stability of the functional equation f(x + y) = f(x) + f(y), in the class of functions mapping a commutative group into a commutative group. As a consequence, we deduce from it some hyperstability outcomes. Moreover, we also show how to use that result to improve some earlier stability estimations given by Isaac and Rassias.

Non-Archimedean stability of Cauchy-Jensen Type functional equation

In this paper we investigate the generalized Hyers-Ulamstability of the following Cauchy-Jensen type functional equation$$QBig(frac{x+y}{2}+zBig)+QBig(frac{x+z}{2}+yBig)+QBig(frac{z+y}{2}+xBig)=2[Q(x)+Q(y)+Q(z)]$$ in non-Archimedean spaces

A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation

Stability of Cauchy Additive Functional Equation in Fuzzy Banach Spaces

In this article, we prove the generalized Hyers–Ulam stability of the following Cauchy additive functional equation

non-archimedean stability of cauchy-jensen type functional equation

in this paper we investigate the generalized hyers-ulamstability of the following cauchy-jensen type functional equation$$qbig(frac{x+y}{2}+zbig)+qbig(frac{x+z}{2}+ybig)+qbig(frac{z+y}{2}+xbig)=2[q(x)+q(y)+q(z)]$$ in non-archimedean spaces