Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 309026, 11 pages
doi:10.1155/2011/309026
Research Article

Generalized Hyers-Ulam Stability of the Pexiderized Cauchy Functional Equation in Non-Archimedean Spaces

Abbas Najati1 and Yeol Je Cho2

1Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
2Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea

Received 22 October 2010; Accepted 8 March 2011

Academic Editor: Jong Kim

Copyright © 2011 Abbas Najati and Yeol Je Cho. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We prove the generalized Hyers-Ulam stability of the Pexiderized Cauchy functional equation 𝑓 ( 𝑥 + 𝑦 ) = 𝑔 ( 𝑥 ) + ℎ ( 𝑦 ) in non-Archimedean spaces.