… is a Cauchy additive mapping and they gave some stability of these mappings. In this paper,
we give … Thus the mapping L : X → Y is a unique Cauchy additive mapping satisfying (2.2). …

… The concept of the Ryers-Ulam stabilityof mappings was thus … We note that till now the
Hyers-Ulam stability has been … , the stability of Lorentz and conformal mappings, the stability of …

… Rassias studied the asymptoticity aspect of Hyers–Ulam stability of mappings. Several …
stability and Hyers–Ulam–Rassias stability to a number of functional equations and mappings, for …

… We prove the stability of the following functional equation in Banach modules over a unital
C… We investigate the stability of an Euler–Lagrange–Rassias type additive mapping in Banach …

… the real homogeneity of the mapping T. Without this assumption one can show that f is
approximated by an additive mapping T which means that T satisfies the following equation …

… ( y ) , where A 1 and A 2 are additive mappings. The solution of (2) is of the form A 1 ( x ) +
A 2 ( y ) + f ( 0 , 0 ) , where A 1 and A 2 are additive mappings. The solution of (2) contains the …

… a solution, we say that the equation is stable. The first … Then there exists a unique additive
mapping L : X → Y such that … To prove the uniqueness of the additive mapping A, assume that …

… y 0 )-additive mappings at all; however, we will get the following stability theorems for them.
… 1, −1,1; x 0 , y 0 )-additive mappings. These cover all of the systems of (a, −a, c, −c; x 0 , y 0 )-…

… Then there is an additive mapping A: Z -* Y satisfying IIF(x) - A(x)II < 2(2 - 2P)-1IIxIIP for all x
… Y is Ger-additive on B with constant K. Then there exists an additive mapping A: G -- Y such …

… generalized Euler–Lagrange type additive mapping. We investigate the Hyers–Ulam–Rassias
stability of a generalized Euler–Lagrange type additive mapping in Banach modules over …