The Stability Of Two Functional Equations

In this paper, we discuss stability of a Euler-Lagrange functional equation in a fuzzy space. Then the stability of a quadratic additive functional equation in a β-anach space is proved.The thesis is divided into three chapters according to contents.In chapter 1, we introduce some fundamental knowledge and source of theory.In chapter 2, we consider the stability of the following Euler-Lagrange functional equation in a fuzzy space where k, I are fixed rational numbers and k≠ 0,-1,l≠ 0.In chapter 3, we consider the stability of a quadratic additive functional equation in a β-anach space. The following is a functional equation the mapping f:Xâ†'Y, for all X, Y, are real vector spaces.