Chatterjea Polynomial Contraction Mapping Theorem in Metric Spaces with Application
Abstract
In this paper, we introduce the notion of polynomial Chatterjea contraction mapping in metric spaces, and obtain a fixed point theorem. Some consequences of the main result and a conjecture are stated. The conjecture is illustrated with an example, and the conjecture is used to show existence and uniqueness of solutions for a certain class of fractional differential equations.
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
- 237–237
- Publication date
- 9 February 2026
- Language
- EN