Applications of Common Fixed-Point Results in Complex-Valued Metric Spaces to Homotopy Theory

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 theor...

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Bibliographic Details
Published in:Axioms 2024-11, Vol.13 (11), p.805
Main Authors: Shammaky, Amnah Essa, Ahmad, Jamshaid
Format: Article
Language:English
Subjects:
common fixed point
complex-valued metric spaces
Fixed point theory
Fixed points (mathematics)
generalized rational contractions
homotopy
Homotopy theory
Mathematical research
Metric space
Metric spaces
Numbers
set-valued mappings
Theorems
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Summary: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms13110805