Nearly n-homomorphisms and n-derivations in fuzzy ternary Banach algebras
Nearly n-homomorphisms and n-derivations in fuzzy ternary Banach algebras
Abstract Let <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>n</mml:mi> <mml:mo>=</mml:mo> <mml:mn>3</mml:mn> <mml:mi>k</mml:mi> <mml:mo>+</mml:mo> <mml:mn>2</mml:mn> </mml:math> for some <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>k</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>N</mml:mi> </mml:math> . We investigate the generalized Hyers-Ulam stability of n -homomorphisms and n -derivations on fuzzy ternary Banach algebras related to the generalized Cauchy-Jensen additive functional equation. MSC: 39B52, 46S40, 26E50.