摘要：The main goal of this paper is to study the Hyers-Ulam-Rassias stability of the following Euler-Lagrange type additive functional equation: ∑ j = 1 m f ( − r j x j + ∑ 1 ≤ i ≤ m , i ≠ j r i x i ) + 2 ∑ i = 1 m r i f ( x i ) = m f ( ∑ i = 1 m r i x i ) , where r 1 , … , r m ∈ R , ∑ i = k m r k ≠ 0 , and r i , r j ≠ 0 for some 1 ≤ i < j ≤ m , in non-Archimedean Banach spaces. MSC:39B22, 39B52, 46S10.
关键词：stability ; non-Archimedean normed space ; fixed point method
