Stability of an n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Random Normed Spaces

We investigate the stability problems for the n-dimensional mixed-type additive and quadratic functional equation 2f(∑j=1nxj)+∑1≤i,j≤n,  i≠jf(xi-xj)=(n+1)∑j=1nf(xj)+(n-1)∑j=1nf(-xj) in random normed spaces by applying the fixed point method.

Bibliographic Details
Main Authors: Yang-Hi Lee, Soon-Mo Jung
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/547865