Hyperstability of Orthogonally 3-Lie Homomorphism: An Orthogonally Fixed Point Approach
نویسندگان
چکیده
In this chapter, by using the orthogonally fixed point method, we prove Hyers–Ulam stability and hyperstability of 3-Lie homomorphisms for additive ρ-functional equation in algebras. Indeed, investigate system functional equations $$\displaystyle \begin{array}{@{}rcl@{}} \left \{ \begin {array}{ll} f(x+y)-f(x)-f(y)= \rho (2f\left (\frac {x+y}{2}\right )+ f(x)+ f(y)\right ),\\ f([[u,v],w])=[[f(u),f(v)],f(w)] \end {array} \right . \end{array} $$ algebras where ρ≠1 is a real number.
منابع مشابه
Stability and hyperstability of orthogonally ring $*$-$n$-derivations and orthogonally ring $*$-$n$-homomorphisms on $C^*$-algebras
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ژورنال
عنوان ژورنال: Springer optimization and its applications
سال: 2022
ISSN: ['1931-6828', '1931-6836']
DOI: https://doi.org/10.1007/978-3-030-84122-5_25