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

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

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.

How to Cite this Article

El Bekri Youssef, Edraoui Mohamed, Jamal Mouline, Abdelhafid Bassou, Some fixed point theorems for tricyclic contractions in dislocated quasi-b-metric spaces, Adv. Fixed Point Theory, 13 (2023), Article ID 30. https://doi.org/10.28919/afpt/8308

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.