APPROXIMATE (m, n)-CAUCHY-JENSEN MAPPINGS IN QUASI-β-NORMED SPACES

摘要

In 1940 S.M. Ulam proposed the famous Ulam stability problem. In this paper we introduce a general (m, n)-Cauchy-Jensen functional equation and establish new theorems about the Ulam stability of general (m,n)-Cauchy-Jensen additive mappings in quasi-β-normed spaces, which generalize results obtained for Cauchy-Jensen type additive mappings.