Stability and superstability of n-Jordan ∗-homomorphisms in Frechet locally C*-algebras

	Stability and superstability of n-Jordan ∗-homomorphisms in Frechet locally C*-algebras
International Journal of Nonlinear Analysis and Applications
مقاله 3، دوره 14، شماره 2، اردیبهشت 2023، صفحه 23-30 اصل مقاله (383.3 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21584.2276
نویسندگان
Khatere Ghasemi¹؛ Shahram Ghaffary¹؛ Javad Jamalzadeh^* ¹؛ Choonkil Park²
¹Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran
²Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
چکیده
Using fixed point methods, we prove the Hyers-Ulam stability and the superstability of $n$-Jordan $$-homomorphisms in Fr'echet locally $C^$-algebras for the generalized Jensen-type functional equation $$r f\left(\frac{ a+b}{ r} \right) + r f\left( \frac{a-b}{r}\right) =2f(a),$$ where $r$ is a fixed real number greater than $1$.
کلیدواژه‌ها
n-Jordan ∗-homomorphism؛ Frechet algebra؛ fixed point method؛ Hyers-Ulam stability
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