Generalized Hyers--Ulam Stability of Refined Quadratic Functional Equations

Abstract

In this paper, we give a general solution of a refined quadratic functional equation and then investigate its generalized Hyers-Ulam stability in quasi-normed spaces and in non-Archimedean normed spaces.

Hyers-Ulam Stability of Quadratic Functional Equations on Divisible Square-Symmetric Groupoid

“…The HyersUlam stability of von-Nuemann functional equation was proved by Skof [18] for mapping f : E 1 → E 2 , where E 1 is a normed space and E 2 is a Banach space. For more information of stability of von-Neumann functional equation, we refer [4,6,12,15].…”