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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 13 (2023), Article ID 16

Existence and uniqueness of fixed point for α-contractions in rectangular quasi b-metric spaces

Adil Baiz, Jamal Mouline, Youssef El Bekri

PDF (157.9 KB) https://doi.org/10.28919/afpt/8152

Abstract

In this manuscript, we give some new examples of rectangular quasi b-metric spaces and it is not rectangular metric space nor metric space. After that we prove existence and uniqueness of new fixed points for some new contractions in rectangular quasi b-metric spaces. Then we validate these findings with appropriate and innovative examples.

Published
22 September 2023
Volume
13 (2023)
License
CC BY 3.0

Copyright © 2023 Adil Baiz, Jamal Mouline, Youssef El Bekri. 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

A. Baiz, J. Mouline, Y. El Bekri, Existence and uniqueness of fixed point for α-contractions in rectangular quasi b-metric spaces, Adv. Fixed Point Theory 13 (2023), 16. https://doi.org/10.28919/afpt/8152

BibTeX
@article{Baiz2023,
  author  = {Baiz, Adil and Mouline, Jamal and El Bekri, Youssef},
  title   = {Existence and uniqueness of fixed point for α-contractions in rectangular quasi b-metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {13},
  year    = {2023},
  pages   = {16},
  doi     = {10.28919/afpt/8152}
}