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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 30

Some fixed point theorems for tricyclic contractions in dislocated quasi-b-metric spaces

El Bekri Youssef, Edraoui Mohamed, Jamal Mouline, Abdelhafid Bassou

PDF (140.5 KB) https://doi.org/10.28919/afpt/8308

Abstract

This paper centers on introducing dislocated quasi-b-metric spaces and proposing the concepts of Geraghty-type dqb-tricyclic Banach contraction and dqb-tricyclic-Kannan mapping. These innovations lead to successfully proving the existence of fixed-point theorems within these spaces. In doing so, the main theorem presented in this work extends and solidifies previous discoveries from recent literature into a unified framework.

Published
29 December 2023
Volume
13 (2023)
License
CC BY 3.0

Copyright © 2023 El Bekri Youssef, Edraoui Mohamed, Jamal Mouline, Abdelhafid Bassou. 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

E. B. Youssef, E. Mohamed, J. Mouline, A. Bassou, Some fixed point theorems for tricyclic contractions in dislocated quasi-b-metric spaces, Adv. Fixed Point Theory 13 (2023), 30. https://doi.org/10.28919/afpt/8308

BibTeX
@article{Youssef2023,
  author  = {Youssef, El Bekri and Mohamed, Edraoui and Mouline, Jamal and Bassou, Abdelhafid},
  title   = {Some fixed point theorems for tricyclic contractions in dislocated quasi-b-metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {13},
  year    = {2023},
  pages   = {30},
  doi     = {10.28919/afpt/8308}
}