Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 912046, 8 pages
doi:10.1155/2009/912046
A Fixed Point Approach to the Stability of the Functional Equation f(x+y)=F[f(x),f(y)]
Soon-Mo Jung1
and Seungwook Min2
1Mathematics Section, College of Science and Technology, Hongik University, Jochiwon 339-701, South Korea
2Division of Computer Science, Sangmyung University, 7 Hongji-dong, Jongno-gu, Seoul 110-743, South Korea
Abstract
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.