| _version_ | 1866901338252640256 |
|---|---|
| author | Fabiano, Nicola Bekri, Zouaoui |
| author_facet | Fabiano, Nicola Bekri, Zouaoui |
| contents | <p>In this paper, we introduce a new contraction condition that<br>combines the framework of Singh’s extension with the classical Chat-<br>terjea contraction. This generalized form, called the Singh–Chatterjea<br>contraction, is defined on the p-th iterate of a mapping. We establish<br>fixed point theorems for such mappings in complete metric spaces and<br>show that our results extend and unify both Singh’s and Chatterjea’s<br>classical fixed point theorems. Illustrative examples and a simple nu-<br>merical implementation are provided to demonstrate the applicability<br>of the obtained results.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17344714 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Fixed Point Theory For Singh-Chatterjea Type Contractive Mappings Fabiano, Nicola Bekri, Zouaoui Chatterjea contraction Singh contraction Fixed point theory Contractive mappings Metric spaces Iterative contraction Existence and uniqueness <p>In this paper, we introduce a new contraction condition that<br>combines the framework of Singh’s extension with the classical Chat-<br>terjea contraction. This generalized form, called the Singh–Chatterjea<br>contraction, is defined on the p-th iterate of a mapping. We establish<br>fixed point theorems for such mappings in complete metric spaces and<br>show that our results extend and unify both Singh’s and Chatterjea’s<br>classical fixed point theorems. Illustrative examples and a simple nu-<br>merical implementation are provided to demonstrate the applicability<br>of the obtained results.</p> |
| title | Fixed Point Theory For Singh-Chatterjea Type Contractive Mappings |
| topic | Chatterjea contraction Singh contraction Fixed point theory Contractive mappings Metric spaces Iterative contraction Existence and uniqueness |
| url | https://doi.org/10.5281/zenodo.17344714 |