Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras
Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras
Abstract In this article, we investigate the generalized Hyers-Ulam-Rassias stability, Isac-Rassias type stability and superstability of ternary homomorphisms and ternary derivations associated to the generalized m- variables Cauchy-Jensen functional equation <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:munderover> <mml:mrow> <mml:mo>∑</mml:mo> </mml:mrow> <mml:mrow> <mml:mi>i</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:mrow> <mml:mi>m</mml:mi> </mml:mrow> </mml:munderover> <mml:mi>f</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> …