Abstract and Applied Analysis
Volume 2011 (2011), Article ID 208163, 21 pages
http://dx.doi.org/10.1155/2011/208163
Research Article

A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces

M. Eshaghi Gordji,1 M. B. Ghaemi,2 Y. J. Cho,3 and H. Majani2

1Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
2Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
3Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Republic of Korea

Received 21 April 2011; Revised 20 June 2011; Accepted 21 July 2011

Academic Editor: Wing-Sum Cheung

Copyright © 2011 M. 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.

Abstract

We prove the generalized Hyers-Ulam-Rassias stability of a general system of Euler-Lagrange-type quadratic functional equations in non-Archimedean 2-normed spaces and Menger probabilistic non-Archimedean-normed spaces.