DOI: 10.1515/math-2023-0177 ISSN: 2391-5455

Combined system of additive functional equations in Banach algebras

Siriluk Donganont, Choonkil Park
  • General Mathematics
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Abstract

In this study, we solve the system of additive functional equations:

h ( x + y ) = h ( x ) + h ( y ) , g ( x + y ) = f ( x ) + f ( y ) , 2 f x + y 2 = g ( x ) + g ( y ) , \left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end{array}\right.
and we investigate the stability of (homomorphism, derivation)-systems in Banach algebras.

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