Fixed point results for single and multi-valued three-points contractions
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912250278707200 |
|---|---|
| author | Jleli, Mohamed Petrov, Evgeniy Samet, Bessem |
| author_facet | Jleli, Mohamed Petrov, Evgeniy Samet, Bessem |
| contents | In this paper, we are concerned with the study of the existence of fixed points for single and multi-valued three-points contractions. Namely, we first introduce a new class of single-valued mappings defined on a metric space equipped with three metrics. A fixed point theorem is established for such mappings. The obtained result recovers that established recently by the second author [J. Fixed Point Theory Appl. 25 (2023) 74] for the class of single-valued mappings contracting perimeters of triangles. We next extend our study by introducing the class of multivalued three points contractions. A fixed point theorem, which is a multi-valued version of that obtained in the above reference, is established. Some examples showing the validity of our obtained results are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19936 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fixed point results for single and multi-valued three-points contractions Jleli, Mohamed Petrov, Evgeniy Samet, Bessem General Topology Primary 47H10, Secondary 47H09 In this paper, we are concerned with the study of the existence of fixed points for single and multi-valued three-points contractions. Namely, we first introduce a new class of single-valued mappings defined on a metric space equipped with three metrics. A fixed point theorem is established for such mappings. The obtained result recovers that established recently by the second author [J. Fixed Point Theory Appl. 25 (2023) 74] for the class of single-valued mappings contracting perimeters of triangles. We next extend our study by introducing the class of multivalued three points contractions. A fixed point theorem, which is a multi-valued version of that obtained in the above reference, is established. Some examples showing the validity of our obtained results are provided. |
| title | Fixed point results for single and multi-valued three-points contractions |
| topic | General Topology Primary 47H10, Secondary 47H09 |
| url | https://arxiv.org/abs/2502.19936 |