12 papers
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…
On the stability of radical functional equation in modular space
Abderrahman Baza, Mohamed Rossafi
In this work, we prove the generalised Hyer Ulam stability of the following functional equation \begin{equation}\label{Eq-1} ϕ(x)+ϕ(y)+ϕ(z)=q ϕ\left(\sqrt[s]{\frac{x^s+y^s+z^s}{q}}…
Fixed point theorems for generalized contraction mappings in rectangular quasi b-metric spaces
Mohamed Rossafi, Abdelkarim Kari
A generalized version of both rectangular metric spaces and rectangular quasi-metric spaces is known as rectangular quasi b-metric spaces (RQB-MS). In the current work, we define g…
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…
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…
Best proximity point of generalized proximal non-self contractions
Mohamed Rossafi, Abdelkarim Kari
In this manuscript, motivated and inspired by results of Best proximity point of generalized -proximal non-self contractions, we introduce the concept of generalized pro…