Applications of Common Fixed-Point Results in Complex-Valued Metric Spaces to Homotopy Theory
Year: 2024
Type: article
Abstract: The aim of this research article is to introduce generalized rational contractions in the context of complex-valued metric spaces and to establish novel common fixed-point theorems. Our findings generalize several well-known fixed-point theorems and contribute to the advancement of fixed-point theory. A non-trivial example is provided to demonstrate the efficacy of the obtained results. Additionally, we demonstrate the practical significance of our findings through a homotopy result.
Source: Axioms
Authors: Amnah Essa Shammaky, Jamshaid Ahmad
Institutions: Jazan University, University of Jeddah
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,728
OpenAlex ID: W4404524068