J. Nonl. Evol. Equ. Appl. 2012 (6), pp. 69-84, published on September 17, 2012: | Journal of Nonlinear Evolution Equations and Applications

Stability of a quadratic functional equation in non-Archimedean L-fuzzy n-normed spaces

Department of Mathematics, University of Mohaghegh Ardabili, P. O. Box 179, Ardabil, Iran

Received on October 10, 2011
Accepted on February 8, 2012

Communicated by Mouffak Benchohra

Abstract. In this paper, we prove the Hyers-Ulam-Rassias stability of the following version of a quadratic functional equation in non-Archimedean L-fuzzy n-normed spaces:f(l x + y) + f(l x - y) = 2 l² f(x) + 2 f(y) .
Keywords:	Non-Archimedean fuzzy n-normed space; quadratic functional equation; stability.
2010 Mathematics Subject Classification: 46S40, 39B52, 39B82, 26E50, 46S50.