التفاصيل البيبلوغرافية
| العنوان: |
A new type of R-contraction and its best proximity points |
| المؤلفون: |
Mustafa Aslantas, Hakan Sahin, Ishak Altun, Taif Hameed SAADOON SAADOON |
| المصدر: |
AIMS Mathematics, Vol 9, Iss 4, Pp 9692-9704 (2024) |
| بيانات النشر: |
AIMS Press, 2024. |
| سنة النشر: |
2024 |
| المجموعة: |
LCC:Mathematics |
| مصطلحات موضوعية: |
$ \mathcal{r} $-contractions, homotopy, best proximity point, fixed point, Mathematics, QA1-939 |
| الوصف: |
In this paper, we aim to overcome the problem given by Abkar et al. [Abstr. Appl. Anal., 2013 (2013), 189567], and so to obtain real generalizations of fixed point results in the literature. In this direction, we introduce a new class of functions, which include $ \mathcal{R} $-functions. Thus, we present a new type of $ \mathcal{R} $ -contraction and weaken $ \mathcal{R} $-contractions that have often been studied recently. We also give a new definition of the $ P $-property. Hence, we obtain some best proximity point results, including fixed point results for the new kind of $ \mathcal{R} $-contractions. Then, we provide an example to show the effectiveness of our results. Finally, inspired by a nice and interesting technique, we investigate the existence of a best proximity point of the homotopic mappings with the help of our main result. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
2473-6988 |
| Relation: |
https://doaj.org/toc/2473-6988 |
| DOI: |
10.3934/math.2024474?viewType=HTML |
| DOI: |
10.3934/math.2024474 |
| URL الوصول: |
https://doaj.org/article/51dce1b732394609944a2f41b86e2f8a |
| رقم الانضمام: |
edsdoj.51dce1b732394609944a2f41b86e2f8a |
| قاعدة البيانات: |
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