Fuzzy almost quadratic functions

Abstract

We approximate a fuzzy almost quadratic function by a quadratic function in a fuzzy sense. More precisely, we establish a fuzzy Hyers--Ulam--Rassias stability of the quadratic functional equation $f(x+y)+f(x-y)=2f(x)+2f(y)$. Our result can be regarded as a generalization of the stability phenomenon in the framework of normed spaces. We also prove a generalized version of fuzzy stability of the Pexiderized quadratic functional equation $f(x+y)+f(x-y)=2g(x)+2h(y)$.

17 pages

References in corpus (3)

• A Fixed Point Approach to Stability of a Quadratic Equation
• On the Orthogonal Stability of the Pexiderized Quadratic Equation
• On the Stability of J*-Homomorphisms

Cited by in corpus (1)

• Fuzzy stability of additive--quadratic functional equations