Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point Approach

Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation f(2x+y)=4f(x)+f(y)+f(x+y)−f(x−y) in Banach spaces.

Bibliographic Details
Main Author: Choonkil Park
Format: Article
Language:English
Published: SpringerOpen 2008-03-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2008/493751