Аннотация:
We investigate the Hyers–Ulam–Rassias stability property of a quadratic
functional equation. The analysis is done in the context of modular spaces. The type of
stability considered here is very general in character which has been considered in
various domains of mathematics. The speciality of the functional equation considered here
is that it has a geometrical background behind its introduction. We approach the problem
by applying a fixed point method for which a version of the contraction mapping principle
in modular spaces is utilized. Also the results in this paper are established without
using some familiar conditions on modular spaces.