3 papers
math.OA2025
Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules
Sajjad Khan, Choonkil Park
In this paper, we introduce the idea of -homomorphism on a Hilbert -module. Furthermore, we prove the Hyers-Ulam stability of homomorphisms and -homomorphisms on…
math.FA2024
Some Fixed Point Results for Interpolative Contractive Mappings in -algebra valued metric spaces
Hafida Massit, Mohamed Rossafi, Choonkil Park
In this paper, we present a new concept of interpolative contraction mappings in -algebra valued complete metric space and we prove the existence of fixed points and comm…
math.GM2024
Stability of additive-quadratic functional equation in modular space
Abderrahman Baza, Mohamed Rossafi, Choonkil Park
Using the direct method, we prove the generalised Hyers-Ulam stability of the following functional equation \begin{equation} Ï(x+y, z+w)+Ï(x-y, z-w)-2 Ï(x, z)-2 Ï(x, w)=0 \end{…