On the Stability of a Cubic Functional Equation in Random Normed Spaces
Abstract
The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Re- cently, the Hyers-Ulam-Rassias stability of the functional equation
f(x+2y)+f(x−2y) = 2f(x)−f(2x)+4 f(x+y)+f(x−y) ,
has been proved in the case of Banach spaces. In this paper, we will find out the generalized Hyers-Ulam-Rassias stability problem of the above functional equation in random normed spaces.
f(x+2y)+f(x−2y) = 2f(x)−f(2x)+4 f(x+y)+f(x−y) ,
has been proved in the case of Banach spaces. In this paper, we will find out the generalized Hyers-Ulam-Rassias stability problem of the above functional equation in random normed spaces.
Keywords
Cubic functional equation, stability, fixed point.
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