• A SURVEY ON THE STABILITY OF SOME FUNCTIONAL EQUATIONS

Abstract

The theory of functional equations is a vast area of the Non-linear analysis which is rather hard to explore. The stability problem of functional equations arose from a question of Ulam in 1940. In the recent decades, the stability problems of several functional equations have been investigated by many mathematicians. This paper presents a survey of the stability of some different type of functional equations in various spaces such as normed space, Banach space, Fuzzy space, Random normed space etc.