用定点法求得Γ∗-巴拿赫代数上约旦k-*派生的稳定性

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi Pub Date : 2024-01-06 DOI:10.25092/baunfbed.1300223

Berna Arslan

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引用次数: 0

摘要

利用定点方法，我们证明了Γ∗-巴拿赫代数上的约旦k-∗-衍生对于以下詹森型函数方程μf((x+y)/2)+μf((x-y)/2)=f(μx)的稳定性和超稳定性，其中μ是复数，使得|μ| = 1。我们还研究了Γ∗-巴拿赫代数上具有函数方程 f(2μx+μy)+f(μx+2μy)=μ[f(3x)+f(3y)] 的乔丹 k-∗ 衍射的稳定性和超稳定性。

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

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.

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Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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