Nonlinear contraction in a (θ,ρ)-metric space

Karim Chaira, Mustapha Kabil, Samih Lazaiz, Yassine Nebrass

Abstract

Motivated by the concepts of extended b-metric and suprametric space, we define the concepts of extended θ-metric and extended (θ,ρ)-metric spaces. We also show some fixed point theorems for self-mappings defined on such spaces. Our results extend the results in [1] and [2]. Further some examples are given.

How to Cite this Article

Karim Chaira, Mustapha Kabil, Samih Lazaiz, Yassine Nebrass, Nonlinear contraction in a (θ,ρ)-metric space, Adv. Fixed Point Theory, 15 (2025), Article ID 47. https://doi.org/10.28919/afpt/9320

Copyright © 2025 Karim Chaira, Mustapha Kabil, Samih Lazaiz, Yassine Nebrass. 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.