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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} ϕ(x+y, z+w)+ϕ(x-y, z-w)-2 ϕ(x, z)-2 ϕ(x, w)=0 \end{equa…
math.FA2024
Weaving continuous generalized frames for operators
Hafida Massit, Mohamed Rossafi, Choonkil Park
Recently, Bemrose et al. \cite{BE} developed a theory of weaving frames, which was motivated by a problem regarding distributed signal processing. In this present article, we intro…