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Open AccessMathematics

STABILITY OF FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN SPACES

M. Moslehian, T. Rassias

2007.2.12Applicable Analysis and Discrete Mathematics

DOI: 10.2298/aadm0702325m

Abstract

We prove the generalized Hyers-Ulam stability of the Cauchy functional equation f(x+y) = f(x)+f(y) and the quadratic functional equation f(x+ y) f(x - y) = 2f(x) + 2f(y) in non-Archimedean normed spaces.

Citation format

MOSLEHIAN, M.; RASSIAS, T. STABILITY OF FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN SPACES. Applicable Analysis and Discrete Mathematics, 2007, 1: 325–334.