The stability of functional equations in quasi-normed quasilinear spaces

Abstract

In this article, we dene quasi-normed quasilinear spaces
and show that the space of all bounded quasilinear q-operators on this
space is an Ù-space. Due to the importance of the problem of stability of
functional equations in different spaces, many authors have studied the
stability of functional equations in different spaces. Tabor proved the
stability of the Cauchy functional equation in quasi-Banach spaces. We
prove the stability of functional equations in quasi-normed quasilinear
spaces.