On the α−ψ−Contractive Mappings in C∗-Algebra Valued b-Rectangular Metric Spaces and Fixed Point Theorems

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Published: Mar 17, 2022
Vol. 2 (2022), 11
DOI: https://doi.org/10.28924/ada/ma.2.11

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Mohamed Rossafi
LaSMA Laboratory Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, B. P. 1796 Fes Atlas, Morocco
Abdelkarim Kari
AMS Laboratory Faculty of Sciences Ben M’Sik, Hassan II University, Casablanca, Morocco
Hafida Massit
Laboratory of Partial Differential Equations, Spectral Algebra and Geometry Department of Mathematics, Faculty of Sciences, University Ibn Tofail, Kenitra, Morocco

Abstract

This present paper extends a version of α−ψ−contraction in C∗-algebra valued rectangular b-metric spaces and establishing the existence and uniqueness of fixed point for them. Non-trivial examples are further provided to support the hypotheses of our results.

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Vol. 2 (2022)
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