The new investigation of the stability of mixed type additive-quartic functional equations in non-Archimedean spaces

Abstract

In this article, we prove the generalized Hyers-Ulam stability for the following additive-quartic functional equation:f(x+3y)+f(x−3y)+f(x+2y)+f(x−2y)+22f(x)+24f(y)=13[f(x+y)+f(x−y)]+12f(2y),f(x+3y)+f(x-3y)+f(x+2y)+f(x-2y)+22f(x)+24f(y)=13{[}f(x+y)+f(x-y)]+12f(2y),where f maps from an additive group to a complete non-Archimedean normed space.

Keywords

• non-archimedean normed spaces
• linear functionals
• functional equations
• 39b52
• 39b55
• 39b72
• 47h10
• 46h25