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

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.

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Publication Details

Journal
Annals of Mathematics and Computer Science
Published
2025-03-23
DOI
https://doi.org/10.56947/amcs.v27.473
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

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

Mohamed Rossafi, Kari Abdelkarim
Annals of Mathematics and Computer Science
Fixed Point Theorems Analysis
article

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

Mohamed Rossafi, Kari Abdelkarim
article en

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.

Annals of Mathematics and Computer ScienceVol. 27
Université Ibn-Tofail (MA), University of Hassan II Casablanca (MA)
Openalex Percentile: Top 90%
Fixed Point Theorems Analysis
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