Exponential Type Contraction Mapping Theorems for the Banach, Kannan, Chatterjea, Reich, and Hardy-Rogers Operators in Metric Spaces with Application
Abstract
In this paper, we introduce the notion of an exponential type contraction operator, and prove the Banach, Kannan, Reich, Chatterjea, and Hardy-Rogers fixed point theorem for such operators in the setting of metric spaces. Finally, we apply the exponential Banach contraction mapping theorem to the Fredholm integral equation.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Functional Equations Stability Results
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Earthline Journal of Mathematical Sciences
- Pages
- 293–293
- Publication date
- 6 March 2026
- Language
- EN