Fixed point theorems for generalized θ-φ-contraction mappings in rectangular quasi b-metric spaces

Mohamed Rossafi; Kari Abdelkarim

doi:10.56947/amcs.v27.473

Authors

Mohamed Rossafi Laboratory Partial Differential Equations, Spectral Algebra and Geometry, Higher School of Education and Training, University of Ibn Tofail, Morocco
Kari Abdelkarim Laboratory of Analysis, Modeling and Simulation Faculty of Sciences Ben M’Sik, Hassan II University, Morocco

DOI:

https://doi.org/10.56947/amcs.v27.473

Keywords:

Fixed point, rectangular quasi b-metric spaces, θ-φ-contraction

Abstract

A generalized version of both rectangular metric spaces and rectangular quasi-metric spaces is known as rectangular quasi b-metric spaces (RQB-MS). In the current work, we define generalized ( θ,φ)-contraction mappings and study fixed point (FP) results for the maps introduced in the setting of rectangular quasi b-metric spaces. Our results generalize many existing results. We also provide examples in support of our main findings.