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Strong Contraction Mapping Principle for the Kannan, Chatterjea, Reich, and Hardy-Rogers Operators in Metric Spaces with Application

Submitted:

14 August 2026

Posted:

19 August 2026

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Abstract
In this paper, we introduce the notion of strong contractions. These contractions resemble the strong triangle inequality in the definition of strong b-metric spaces [5]. We obtain some fixed point theorems for these new contractions in the setting of metric spaces with an illustrative example. Finally, we apply our result to the Fredholm integral equation.
Keywords: 
Kannan
;  
Chatterjea
;  
Reich
;  
Hardy-Rogers
;  
Fredholm integral equation
;  
strong b-metric space
Subject: 
Computer Science and Mathematics  -   Geometry and Topology
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