Fixed point theorems for ψ−contractive mapping in C∗−algebra valued rectangular b-metric spaces
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 satisfying a contractive condition. As a result, we obtained an interesting and important result for the general case of C∗−algebra valued metric spaces. In particular, we study some fixed point theorems in the C∗−algebra valued rectangular b−metric spaces using a positive function.
Copyright © 2021 Hafida Massit, Mohamed Rossafi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
H. Massit, M. Rossafi, Fixed point theorems for ψ−contractive mapping in C∗−algebra valued rectangular b-metric spaces, J. Math. Comput. Sci. 11 (2021), 6507–6521. https://doi.org/10.28919/jmcs/6363
BibTeX
@article{Massit2021,
author = {Massit, Hafida and Rossafi, Mohamed},
title = {Fixed point theorems for ψ−contractive mapping in C∗−algebra valued rectangular b-metric spaces},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {6507--6521},
doi = {10.28919/jmcs/6363}
}