non-Archimedean spaces; additive and quadratic functional equation; Hyers-Ulam stability
Issue Date
2011-09
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
Citation
ADVANCES IN DIFFERENCE EQUATIONS, Vol.2011, No.31 [2011], p1-12
Abstract
In this paper, we prove the Hyers-Ulam stability of a functional equation related to inner product spaces in non-Archimedean normed spaces. 2010 Mathematics Subject Classification: Primary 46S10; 39B52; 47S10; 26E30; 12J25.