The stability of Jordan k-*-derivations on Γ∗-Banach algebras by fixed point method-Reference-Cited by-同舟云学术

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

Published:2024-01-19 Issue:1 Volume:26 Page:111-123
ISSN:1301-7985
Container-title:Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
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Author:

ARSLAN Berna¹^ORCID

Affiliation:

1. AYDIN ADNAN MENDERES ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ, CEBİR VE SAYILAR TEORİSİ ANABİLİM DALI

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.

Publisher

Balikesir Universitesi Fen Bilimleri Enstitusu Dergisi

Subject

General Engineering

Reference20 articles.

1. Ulam, S.M., Problems in modern mathematics, Chapter VI, science ed. Wiley, New York, (1940).

2. Hyers, D.H., On the stability of the linear functional equation, Proceedings of the National Academy of Sciences of the United States of America, 27, 222-224, (1941).

3. Rassias, Th. M., On the stability of the linear mapping in Banach spaces, Proceedings of the American Mathematical Society, 72, 297-300, (1978).

4. Hyers, D.H., Isac, G. ve Rassias, Th.M., Stability of functional equations in several variables, Birkhauser, Basel, (1998).

5. Czerwik, S., Functional equations and inequalities in several variables, River Edge, NJ: World Scientific, (2002).