Fuzzy Stability of Jensen‐Type Quadratic Functional Equations

Abstract

We prove the generalized Hyers-Ulam stability of the following quadratic functional equations and in fuzzy Banach spaces for a nonzero real number with .

Quadratic ρ -functional inequalities in complex matrix normed spaces

“…is called a Jensen-type quadratic equation (see [6] In this paper, we consider the following two quadratic ρ-functional inequalities…”

On the Stability of Quadratic Functional Equation

“…Cholewa [4] noticed that the theorem of Skof [15] is still true if the relevant domain X is replaced by an Abelian group. Czerwik [5] and S.Y.Jang, J.R.Lee, C.Park and D.Y.Shin [12] proved the generalized Hyers-Ulam stability of the quadratic functional equation in Normed and Fuzzy Banach spaces respectively.…”

A fixed point approach to the stability of a septic functional equation in fuzzy quasi-β-normed spaces

“…Hereafter, Miheţ [14] provided an alternative proof of the above-mentioned result by using the fixed point method. In the following, Jang et al [8] investigated the generalized stability of two Jensentype quadratic functional equations in fuzzy Banach spaces. And then, further researches related to the stability of Jensen functional equation have been considered by different authors [7,18].…”