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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 18

New fixed point theorems for (τ-ψ)-contraction mapping in complete rectangular M-metric space

Adil Baiz, Jamal Mouline, Youssef El Bekri, Amine Faiz, Khadija Bouzkoura

PDF (144.1 KB) https://doi.org/10.28919/afpt/8190

Abstract

In this article, we prove a fixed point result for (τ-ψ)-contraction in rectangular M-metric space. Moreover, we discuss some examples that realized the results. Finally, we investigate the existence and uniqueness of a solution of non-linear matrix equations and integral equations of Fredholm type as well.

Published
16 October 2023
Volume
13 (2023)
License
CC BY 3.0

Copyright © 2023 Adil Baiz, Jamal Mouline, Youssef El Bekri, Amine Faiz, Khadija Bouzkoura. 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, A. Faiz, K. Bouzkoura, New fixed point theorems for (τ-ψ)-contraction mapping in complete rectangular M-metric space, Adv. Fixed Point Theory 13 (2023), 18. https://doi.org/10.28919/afpt/8190

BibTeX
@article{Baiz2023,
  author  = {Baiz, Adil and Mouline, Jamal and El Bekri, Youssef and Faiz, Amine and Bouzkoura, Khadija},
  title   = {New fixed point theorems for (τ-ψ)-contraction mapping in complete rectangular M-metric space},
  journal = {Adv. Fixed Point Theory},
  volume  = {13},
  year    = {2023},
  pages   = {18},
  doi     = {10.28919/afpt/8190}
}