TY  - JOUR
T1  - The stability of Jordan k-*-derivations on  Γ∗-Banach algebras by fixed point method
TT  - Jordan k-∗-türevlerinin Γ*-Banach cebirlerinde sabit nokta yöntemiyle stabilitesi
AU  - Arslan, Berna
PY  - 2024
DA  - January
DO  - 10.25092/baunfbed.1300223
JF  - Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
JO  - BAUN Fen. Bil. Enst. Dergisi
PB  - Balıkesir University
WT  - DergiPark
SN  - 1301-7985
SP  - 111
EP  - 123
VL  - 26
IS  - 1
LA  - en
AB  - 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.
KW  - Γ-rings with involution
KW  - Hyers-Ulam-Rassias stability
KW  - Jordan k-∗-derivations.
N2  - Sabit nokta yöntemlerini kullanarak, μf((x+y)/2)+μf((x-y)/2)=f(μx)  ile tanımlı Jensen tipi fonksiyonel denklem için Jordan k-∗-türevlerinin Γ*-Banach cebirleri üzerindeki stabilitesini ve süper stabilitesini kanıtlıyoruz.  Burada μ sayısı, |μ| = 1 şartını sağlayan bir karmaşık sayıdır.  Ayrıca, Γ*-Banach cebirleri üzerindeki f(2μx+μy)+f(μx+2μy)=μ[f(3x)+f(3y)] fonksiyonel denklemi ile Jordan k-∗-türevlerinin stabilitesini ve süper stabilitesini araştırıyoruz.
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UR  - https://doi.org/10.25092/baunfbed.1300223
L1  - https://dergipark.org.tr/en/download/article-file/3156064
ER  -