Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 961642, 10 pages
Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras
1Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
2Technical and Vocational University of Iran, Technical and Vocational Faculty of Tabriz, P.O. Box 51745-135, Tabriz, Iran
3Department of Computer Hacking and Information Security, Daejeon University, Dong-gu, Daejeon 300-716, Republic of Korea
4Department of Mathematics, Kangnam University, Yongin, Gyeonggi 446-702, Republic of Korea
Received 27 January 2012; Revised 18 March 2012; Accepted 19 March 2012
Academic Editor: John Rassias
Copyright © 2012 Madjid Eshaghi Gordji et al. 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.
Let be an integer, let be an algebra, and be an -module. A quadratic function is called a quadratic -derivation if for all ,...,. We investigate the Hyers-Ulam stability of quadratic -derivations from non-Archimedean Banach algebras into non-Archimedean Banach modules by using the Banach fixed point theorem.