doiSerbia

Stability of functional equations in non-Archimedean spaces

Moslehian Sal Mohammad (Ferdowsi University, Department of Mathematics, Mashhad, Iran + Institute for Studies in Theoretical Physics and Mathematics (IPM), Iran)
Rassias Themistocles M. (National Technical University of Athens, Department of Mathematics, Athens, Greece)

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.

Keywords: Generalized Hyers-Ulam stability, Cauchy functional equation, quadratic functional equation, non-Archimedean space, p-adic field