شماره ركورد كنفرانس :
102
عنوان مقاله :
THE GENERALIZED HYERS-ULAM STABILITY OF AN ADDITIVE FUNCTIONAL EQUATION
پديدآورندگان :
AZADI KENARY HASSAN نويسنده , GHAFFARIPOUR ANOSHIRAVAN نويسنده
كليدواژه :
generalized , Additive functional equation , Hyers-Ulam stability
عنوان كنفرانس :
مجموعه مقالات چهل دومين كنفرانس رياضي ايران
چكيده فارسي :
In this article using the fixed point alternative approach, we
prove the generalized Hyers-Ulam stability of the following additive functional
equation
f
µ
x + y
2
+ z
¶
= f(x) + f(y)
2
+ f(z):
in non-Archimedean normed spaces.
The concept of Hyers-Ulam-Rassias or Hyers-Ulam stability originated from
the Th. M. Rassias stability theorem that appeared in his paper: On the
stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc.
72 (1978), 297-300.
شماره مدرك كنفرانس :
1994188