Fixed Point Theory For Singh-Chatterjea Type Contractive Mappings
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915553036206080 |
|---|---|
| author | Bekri, Zouaoui Fabiano, Nicola |
| author_facet | Bekri, Zouaoui Fabiano, Nicola |
| contents | In this paper, we introduce a new contraction condition that combines the framework of Singh's extension with the classical Chatterjea contraction. This generalized form, called the Singh-Chatterjea contraction, is defined on the p-th iterate of a mapping. We establish fixed point theorems for such mappings in complete metric spaces and show that our results extend and unify both Singh's and Chatterjea's classical fixed point theorems. Illustrative examples and a simple numerical implementation are provided to demonstrate the applicability of the obtained results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11975 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fixed Point Theory For Singh-Chatterjea Type Contractive Mappings Bekri, Zouaoui Fabiano, Nicola Functional Analysis 47H10, 54H25, 47H09 In this paper, we introduce a new contraction condition that combines the framework of Singh's extension with the classical Chatterjea contraction. This generalized form, called the Singh-Chatterjea contraction, is defined on the p-th iterate of a mapping. We establish fixed point theorems for such mappings in complete metric spaces and show that our results extend and unify both Singh's and Chatterjea's classical fixed point theorems. Illustrative examples and a simple numerical implementation are provided to demonstrate the applicability of the obtained results. |
| title | Fixed Point Theory For Singh-Chatterjea Type Contractive Mappings |
| topic | Functional Analysis 47H10, 54H25, 47H09 |
| url | https://arxiv.org/abs/2510.11975 |