APPROXIMATE (m, n)-CAUCHY-JENSEN MAPPINGS IN QUASI-beta-NORMED SPACES
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-beta-normed spaces, which generalize results obtained for Cauchy-Jensen type additive mappings
quasi-beta-normed spaces (m, n)-cauchy-jensen additive generalized hyers-ulam stability contractively subadditive expansively superadditive