The stability of Jordan k-*-derivations on Γ∗-Banach algebras by fixed point method

Authors : Berna Arslan

Pages : 111-123

Doi:10.25092/baunfbed.1300223

View : 29 | Download : 41

Publication Date : 2024-01-19

Article Type : Research Paper

Abstract :Using fixed point methods, we prove the stability and the superstability of Jordan k-∗-derivations on Γ∗-Banach algebras for the following Jensen-type functional equation μf((x+y)/2)+μf((x-y)/2)=f(μx) where μ is a complex number such that |μ| = 1. We also investigate the stability and the superstability of Jordan k-∗-derivations with the functional equation f(2μx+μy)+f(μx+2μy)=μ[f(3x)+f(3y)] on Γ∗-Banach algebras.
Keywords : İnvolüsyonlu Γ halkaları, Hyers Ulam Rassias stabilitesi, Jordan k türevler