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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 10

Fixed point theorems for generalized τ-ψ-contraction mappings in rectangular quasi b-metric spaces

Adil Baiz, Jamal Mouline, Abdelkarim Kari

PDF (154.9 KB) https://doi.org/10.28919/afpt/8114

Abstract

In the last few decades, a lot of generalizations of The Banach contraction principle had been introduced. Recently, Piri et al. gave an interesting generalization of this principle in the framework of generalized quasi bmetric spaces. In this paper, we present the notion of τ-ψ-contraction and τ-ψ-contraction in generalized quasi b-metric spaces to study the existence and uniqueness of fixed point for them. We will also provide some illustrative examples. Our results improve many existing results.

Published
21 August 2023
Volume
13 (2023)
License
CC BY 3.0

Copyright © 2023 Adil Baiz, Jamal Mouline, Abdelkarim Kari. 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, A. Kari, Fixed point theorems for generalized τ-ψ-contraction mappings in rectangular quasi b-metric spaces, Adv. Fixed Point Theory 13 (2023), 10. https://doi.org/10.28919/afpt/8114

BibTeX
@article{Baiz2023,
  author  = {Baiz, Adil and Mouline, Jamal and Kari, Abdelkarim},
  title   = {Fixed point theorems for generalized τ-ψ-contraction mappings in rectangular quasi b-metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {13},
  year    = {2023},
  pages   = {10},
  doi     = {10.28919/afpt/8114}
}