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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Mohamed Rossafi
Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Fes,
Mathematics

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Best proximity point theorems for $ \alpha^{+} F, (\theta-\phi )$-proximal contraction Mohamed Rossafi; Abdelkarim Kari
Jurnal Matematika, Statistika dan Komputasi Vol. 18 No. 2 (2022): JANUARY 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v18i2.17994

Abstract

In this paper, inspired by the idea of Suzuki type $ \alpha^{+} F$-proximal contraction in metric spaces, we prove a new existence of best proximity point for Suzuki type $ \alpha^{+} F$-proximal contraction and $ \alpha^{+} (\theta-\phi )$-proximal contraction defined on a closed subset of a complete metric space. Our theorems extend, generalize, and improve many existing results.
Some new properties of g-frame in Hilbert C*-modules Mohamed Rossafi; Hatim Labrigui
Jurnal Matematika, Statistika dan Komputasi Vol. 18 No. 3 (2022): MAY, 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v18i3.20288

Abstract

The theory of frames which appeared in the last half of the century, has been generalized rapidly and various generalizations of frames in Hilbert spaces and Hilbert $C^{\ast}$-modules. In this paper, we will give some new properties of modular Riesz basis and modular $g$-Riesz basis that present a generalization of the results established in a Hilbert space.
Some properties of K-Operator Frame in Hilbert $C^{\ast}$-modules Roumaissae Eljazzar; Mohamed Rossafi; Mohammed Klilou
Jurnal Matematika, Statistika dan Komputasi Vol. 18 No. 3 (2022): MAY, 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v18i3.20459

Abstract

In this paper, we present some properties of K-operator Frame in Hilbert $C^{\ast}$-modules.Topics that will be discussed include: K-operator Frame and Dual K-operator frame in Hilbert $C^{\ast}$-modules.We will also study K-operator Frame in two Hilbert $C^{\ast}$-modules with different $C^{\ast}$-algebras.
Fixed point theorem for Nonlinear $\theta-\phi-$contraction via $w-$distance Mohamed Rossafi; Abdelkarim Kari
Jurnal Matematika, Statistika dan Komputasi Vol. 19 No. 1 (2022): SEPTEMBER, 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v19i1.20866

Abstract

This paper is aimed to the notion of $\theta-\phi-$contraction defined on a metric space with $w-$distance. Moreover, fixed point theorems are given in this framework. Some illustrative examples are provided to advocate the usability of our results.As an application, we prove the existence and uniqueness of a solution for the nonlinear Fredholm integral equations.
Generalized rational $ \alpha_{\ast}- $ contraction in $ C^{\ast}- $algebra-valued b-metric spaces Mohamed Rossafi; Hafida Massit; Abdelkarim Kari
Jurnal Matematika, Statistika dan Komputasi Vol. 19 No. 1 (2022): SEPTEMBER, 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v19i1.21301

Abstract

This present paper extends some common fixed point theorems for generalized rational $ \alpha_{\ast}- $ contraction of multi-valued mappings in the setting of $ C^{\ast}- $algebra-valued b-metric spaces .
Continuous $K$-$g$-fusion frames in Hilbert $C^*$-modules Fakhr-dine Nhari; Choonkil Park; Mohamed Rossafi
Jurnal Matematika, Statistika dan Komputasi Vol. 19 No. 2 (2023): JANUARY 2023
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v19i2.23961

Abstract

In this paper, we introduce the concept of continuous $g$-fusion frame and $K$-$g$-fusion frame in Hilbert $C^{\ast}$-modules. Furthermore, we investigate some properties of them and discuss the perturbation problem for continuous $K$-$g$-fusion frames.
Continuous weaving $g$-frames in Hilbert $C^{\ast}$-modules M'hamed Ghiati; Mohammed Mouniane; Nadia Assila; Mohamed Rossafi
Jurnal Matematika, Statistika dan Komputasi Vol. 19 No. 3 (2023): MAY, 2023
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v19i3.25230

Abstract

The present paper aims to study $c$-$g$-woven for Hilbert $C^ {*} $-module spaces, first, we give some definitions and fundamental properties which will be useful to introduce the notion. And also some of his properties are given. Finally, we discuss the perturbation for $c$-$g$-woven.
Controlled g-frames and their dual in Hilbert $C^{\ast}-$modules Abdelilah Karara; Mohamed Rossafi; Samir Kabbaj
Jurnal Matematika, Statistika dan Komputasi Vol. 20 No. 1 (2023): SEPTEMBER, 2023
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v20i1.26361

Abstract

In this paper we give some new results for controlled g-frames and controlled dual g-frames in Hilbert $C^*$-modules. First, we talk about controlled g-frame characterisation and find certain conditions that are equal to them.Then, we explain the purpose controlled dual g-frames and controlled dual g-frames operator and discuss some of their characteristics.
Tensor product for g-fusion frame in hilbert $C^{\ast}-$modules fakhr-dine Nhari; Mohamed Rossafi; Youssef Aribou
Jurnal Matematika, Statistika dan Komputasi Vol. 20 No. 1 (2023): SEPTEMBER, 2023
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v20i1.26675

Abstract

In this paper, we stady the tensor product of $g-$fusion frame in Hilbert $C^{\ast}-$modules and we give the frame operator for a pair of $g-$fusion bessel sequences in tensor product of Hilbert $C^{\ast}-$modules.
Co-Authors Abdelilah Karara Abdelkarim Kari Choonkil Park Fakhr-dine Nhari Hafida Massit Hatim Labrigui M'hamed Ghiati Mohammed Klilou Mohammed Mouniane Nadia Assila Roumaissae Eljazzar Samir Kabbaj Youssef Aribou