A Fixed Point Approach to the Stability of the Functional Equation f(x+y)=F[f(x),f(y)]

By applying the fixed point method, we will prove the Hyers-Ulam-Rassias stability of the functional equation f(x+y)=F[f(x),f(y)] under some additional assumptions on the function F and spaces involved.

Bibliographic Details
Main Authors: Soon-Mo Jung, Seungwook Min
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2009/912046