Ulam Type Stability of ?-Quadratic Mappings in Fuzzy Modular ∗-Algebras

Abstract

In this paper, we find the solution of the following quadratic functional equation n∑1≤ij≤nQxi−xj=∑i=1nQ∑j≠ixj−(n−1)xi, which is derived from the gravity of the n distinct vectors x1,⋯,xn in an inner product space, and prove that the stability results of the A-quadratic mappings in μ-complete convex fuzzy modular ∗-algebras without using lower semicontinuity and β-homogeneous property.

Keywords

• fuzzy modular ∗-algebras
• modular ∗-algebras
• ?-quadratic derivation
• Δ₂-condition
• <i>β</i>-homogeneous property