Perimetric contraction on quadrilaterals and related fixed point results
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917717929361408 |
|---|---|
| author | Banerjee, Anish Mondal, Pratikshan Dey, Lakshmi Kanta |
| author_facet | Banerjee, Anish Mondal, Pratikshan Dey, Lakshmi Kanta |
| contents | In this article, we introduce a four-point analogue of Banach-type, Kannan-type, and Chatterjea-type contractions, and examine their properties. We establish sufficient conditions under which these mappings achieve fixed points in a complete metric space. Notably, the classical Banach contraction principle emerges as a special case of our results. To illustrate our theoretical findings, we present several non-trivial examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07542 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perimetric contraction on quadrilaterals and related fixed point results Banerjee, Anish Mondal, Pratikshan Dey, Lakshmi Kanta Functional Analysis $47$H$09$, $47$H$10$ In this article, we introduce a four-point analogue of Banach-type, Kannan-type, and Chatterjea-type contractions, and examine their properties. We establish sufficient conditions under which these mappings achieve fixed points in a complete metric space. Notably, the classical Banach contraction principle emerges as a special case of our results. To illustrate our theoretical findings, we present several non-trivial examples. |
| title | Perimetric contraction on quadrilaterals and related fixed point results |
| topic | Functional Analysis $47$H$09$, $47$H$10$ |
| url | https://arxiv.org/abs/2407.07542 |