Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications

Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications

The primary objective of this research is to investigate the notion of elliptic-valued metric spaces and prove new fixed-point theorems for diverse generalized contractions. Our contributions extend several existing results in the field. To underscore the novelty of our main result, we provide a con...

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Bibliographic Details
Main Author: Badriah Alamri
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Axioms
Subjects:
fixed point
Kannan contraction
Chatterjea contraction
Dass and Gupta-type contraction
elliptic-valued metric space
Urysohn integral equation
Online Access:https://www.mdpi.com/2075-1680/14/1/46
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Summary:The primary objective of this research is to investigate the notion of elliptic-valued metric spaces and prove new fixed-point theorems for diverse generalized contractions. Our contributions extend several existing results in the field. To underscore the novelty of our main result, we provide a concrete example. Additionally, we showcase the practical relevance of our primary theorem by solving a Urysohn integral equation.
ISSN:2075-1680

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