Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 3
Fixed point theorems for ψ-contractive mapping in C*-algebra valued rectangular b-metric spaces
Hafida Massit, Mohamed Rossafi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
September 16, 2021
March 03, 2023
April 15, 2023

Abstract: In this paper, we present a new insight of C*-algebra valued rectangular b-metric spaces in the perspective of the fixed point theory using contractive mapping. Using contractive mapping in the rectangular b-metric spaces, we discussed the existence and the uniqueness of the fixed point with mapping satisfing a contractive condition. As a result, we obtained an interesting and important result for the general case of C*-algebra valued metric spaces. In particulary we study some fixed point theorems in the C*-algebra valued rectangular b- metric spaces using a positive function.