Fixed Point Results in Extended ℱ-Metric Spaces with Applications to Caputo Fractional Differential Equations
Year: 2026
Type: article
Abstract: The purpose of this research work is to propose and develop the notion of α,ψ-contractions in the setting of extended F-metric spaces and to establish corresponding fixed point results. Using these results, we derive fixed point results for graphic contractions in extended F-metric spaces as well as for mappings in partially ordered extended F-metric spaces. To demonstrate the validity and novelty of the proposed results, a non-trivial example is provided. Moreover, the constructed framework serves as a tool to investigate the existence of solutions for Caputo fractional differential equations, thereby highlighting both its effectiveness and practical significance.
Source: Fractal and Fractional
Author: Badriah Alamri
Institution: University of Jeddah
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,258
OpenAlex ID: W7154463481