On the connections between $F$-contractions and Meir-Keeler contractions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909675830640640 |
|---|---|
| author | Manolescu, Laura Gavruta, Pasc |
| author_facet | Manolescu, Laura Gavruta, Pasc |
| contents | In this paper, we resolve an open problem concerning the connection between $F$-contractions (Wardowski contractions) and Meir-Keeler contractions. We prove that for a nondecreasing function $F$ that has a point of discontinuity on the right, there exists an $F-$contraction that is not a Meir-Keeler contraction. Moreover, we give a condition on nonlinear $(φ,F)$-contractions to be Meir-Keeler contractions. In the final part of the paper, we give a class of $(E,F)-$contractions (in the sense of the paper arXiv:2009.13157 [math.FA] 28 Sep 2020) that are Meir-Keeler contractions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03606 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the connections between $F$-contractions and Meir-Keeler contractions Manolescu, Laura Gavruta, Pasc Functional Analysis Primary 47H10, Secondary 54H25 In this paper, we resolve an open problem concerning the connection between $F$-contractions (Wardowski contractions) and Meir-Keeler contractions. We prove that for a nondecreasing function $F$ that has a point of discontinuity on the right, there exists an $F-$contraction that is not a Meir-Keeler contraction. Moreover, we give a condition on nonlinear $(φ,F)$-contractions to be Meir-Keeler contractions. In the final part of the paper, we give a class of $(E,F)-$contractions (in the sense of the paper arXiv:2009.13157 [math.FA] 28 Sep 2020) that are Meir-Keeler contractions. |
| title | On the connections between $F$-contractions and Meir-Keeler contractions |
| topic | Functional Analysis Primary 47H10, Secondary 54H25 |
| url | https://arxiv.org/abs/2507.03606 |