数学物理学报(英文版)
數學物理學報(英文版)
수학물이학보(영문판)
ACTA MATHEMATICA SCIENTIA
2012年
3期
866-892
,共27页
Banach module%stability%additive function%cubic function%unital Banach algebra%generalized metric space%fixed-point%JMRassias (or JMR) mixed product-sum of powers of norms
Using a fixed-point method,we establish the generalized Hyers-Ulam stability of a general mixed additive-cubic equation:f(kx + y) + f(kx - y) =kf(x + y) + kf(x -y) + 2f(kx) - 2kf(x) in Banach modules over a unital Banach algebra.