Hyers-Ulam stability additive β-functional inequalities with three variables in non-Archimedean Banach space and complex Banach spaces

Abstract

In this paper we solve additive β-functional inequalities with three variables and their Hyers-Ulam stability in nonArchimedean Banach spaces as well as in complex Banach spaces. It is shown that the solutions of first and second inequalities are additive mappings. Then Hyers-Ulam stability of these inequalities is studied and proven.